CV: EDOARDO BALLICO - ITALIANO
E. BALLICO
Nato a Codroipo (UD) il 3 gennaio 1955.
Studente Corso Ordinario Scuola Normale Superiore di Pisa e Universit di
Pisa 1974–1977.
Laurea in Matematica (con lode) a Pisa, Luglio 1977 (con Diploma del Corso
Ordinario della Scuola Normale Superiore di Pisa).
Perfezionando della Scuola Normale Superiore di Pisa (dal 1 gennaio 1978 al
31 dicembre 1980, prorogato fino ad entrata in ruolo).
Ricercatore Confermato presso la Scuola Normale Superiore di Pisa (1981–
1986).
Doctorat d’Etat (ancien regime) Université de Nice (3/11/1983) (relatore A.
Hirschowitz).
Professore di Prima Fascia dal 4/3/1987, prima straordinario poi dopo il triennio ordinario, fino ad ora presso l’Università di Trento, classe Matematica- Geometria A03
Co-Organizzatore dei seguenti convegni:
1) Algebraic Curves and Projective Geometry; CIRM 1989
2) Classification of Irregular Varieties (minimal models and abelian varieties)
CIRM 1990
3)Arithmetic Algebraic Geometry, CIME 1991.
4) Algebraic geometry in higher dimensions, Trento, CIRM, 2007
Relatore di molte tesi di laurea in matematica, alcune delle quali di ricerca
Relatore di tesi di Dottorato (Trento):
1) Barbara Russo (1996) (Professore Associato, Università di Bolzano)
2) Fabio Giovanetti (1996)
3) Stefano Pasotti (2006) (Ricercatore Universitario, Brescia)
4) Francesco Prantil (2008)
Attività Organizzative: Presidente del Consiglio di Corso di Laurea in Matematica (Trento) dal 1/11/89 al 31/10/1992
1. Lavori recenti
1 2016 Ballico E., Huh S., Malaspina F. (2016). Globally generated vector bundles on P1xP1xP1 with low first Chern classes. JOURNAL OF ALGEBRA, vol.
450, ISSN: 0021-8693, doi: 10.1016/j.jalgebra.2015.11.021
2 2016 Ballico E., Huh S., Malaspina F. (2016). Globally generated vector
bundles on the Segre threefold with Picard number two. MATHEMATISCHE
NACHRICHTEN, vol. 289, ISSN: 0025-584X, doi: 10.1002/mana.201500077
3 2016 Ballico E., Postinghel E., Dumitrescu O. (2016). On Segre’s bound for
fat points in P n . JOURNAL OF PURE AND APPLIED ALGEBRA, vol. 220, p.
2307-2323, ISSN: 0022-4049, doi: 10.1016/j.jpaa.2015.11.008
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E. BALLICO
4 2016 Ballico E., Elia M. (2016). On evaluating multivariate polynomials over
finite fields. QUAESTIONES MATHEMATICAE, vol. 39, ISSN: 1607-3606, doi:
10.2989/16073606.2015.1023861
5 2016 Ballico E., S. Huh, F. Malaspina (2016). On higher rank globally generated vector bundles over a smooth quadric threefold. PROCEEDINGS OF THE
EDINBURGH MATHEMATICAL SOCIETY, vol. 59, ISSN: 0013-0915, doi: 10.1017/S0013091515000073
6 2016 E. Ballico (2016). Postulation of general unions of lines and double points
in a higher dimensional projective space. ACTA MATHEMATICA VIETNAMICA,
vol. 41, p. 495-504, ISSN: 0251-4184, doi: 10.1007/s40306-015-0147-7
7 2015 Ballico E., Huh S., Malaspina F. (2015). A TORELLI-TYPE PROBLEM
FOR LOGARITHMIC BUNDLES OVER PROJECTIVE VARIETIES. QUARTERLY JOURNAL OF MATHEMATICS, vol. 66, p. 417-436, ISSN: 0033-5606,
doi: 10.1093/qmath/hau034
8 2015 Ballico Edoardo, Ravagnani Alberto (2015). A zero-dimensional approach
to Hermitian codes. JOURNAL OF PURE AND APPLIED ALGEBRA, vol. 219,
p. 1031-1044, ISSN: 0022-4049, doi: 10.1016/j.jpaa.2014.05.031
9 2015 Ballico E., Ravagnani A. (2015). Embedding Suzuki curves in P 4 . JOURNAL OF COMMUTATIVE ALGEBRA, vol. 7, p. 149-166, ISSN: 1939-0807, doi:
10.1216/JCA-2015-7-2-149
10 2015 Ballico Edoardo, Huh Sukmoon, Malaspina Francesco (2015). Globally
generated vector bundles on a smooth quadric surface. SCIENCE CHINA MATHEMATICS, vol. 58, p. 633-652, ISSN: 1674-7283, doi: 10.1007/s11425-014-4963-3
11 2015 Ballico E. (2015). Linear subspaces of matrices associated to a Ferrers diagram and with a prescribed lower bound for their rank. LINEAR ALGEBRA AND ITS APPLICATIONS, vol. 483, p. 30-39, ISSN: 0024-3795, doi:
10.1016/j.laa.2015.05.028
12 2015 E. Ballico (2015). On the Weierstrass semigroups of n points of a smooth
curve. ARCHIV DER MATHEMATIK, vol. 104, p. 207-215, ISSN: 0003-889X,
doi: 10.1007/s00013-015-0740-y
13 2015 Ballico E. (2015). On the Weierstrass semigroups of n points of a smooth
curve: an addendum. ARCHIV DER MATHEMATIK, vol. 104, p. 341-342, ISSN:
0003-889X, doi: 10.1007/s00013-015-0747-4
14 2015 Ballico E. (2015). Postulation of a General Union of an m-Point and a
General Smooth Rational Curve. MEDITERRANEAN JOURNAL OF MATHEMATICS, vol. 12, p. 281-300, ISSN: 1660-5446, doi: 10.1007/s00009-014-0418-x
15 2015 Ballico E. (2015). Rank r r spanned vector bundles with extremal Chern
classes on a smooth surface. RIVISTA DI MATEMATICA DELLA UNIVERSIT
DI PARMA, vol. 6, ISSN: 0035-6298
16 2015 E. Ballico (2015). Representations of homogeneous polynomials as a
sum of powers of linear forms with restricted support . RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, vol. 64, p. 1-25, ISSN: 0009-725X, doi:
10.1007/s12215-014-0175-5
17 2015 Ballico Edoardo, Bertone Cristina, Roggero Margherita (2015). The
Locus of Points of the Hilbert Scheme with Bounded Regularity. COMMUNICATIONS IN ALGEBRA, vol. 43, p. 2912-2931, ISSN: 0092-7872, doi: 10.1080/00927872.2014.907905
18 2014 Edoardo Ballico, Claudio Fontanari (2014). A Few Remarks About the
Hilbert Scheme of Smooth Projective Curves. COMMUNICATIONS IN ALGEBRA, vol. 42 (2014), p. 3895-3901, ISSN: 0092-7872, doi: 10.1080/00927872.2013.797990
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19 2014 E. Ballico (2014). Any network code comes from an algebraic curve
taking osculating spaces. DESIGNS, CODES AND CRYPTOGRAPHY, vol. 73,
p. 1023-1026, ISSN: 0925-1022, doi: 10.1007/s10623-013-9841-4
20 2014 E. Ballico, L. Benzo, C. Fontanari (2014). Families of nodal curves
in P r with the expected number of moduli. BOLLETTINO DELLA UNIONE
MATEMATICA ITALIANA, vol. 7 (2014), p. 183-192, ISSN: 1972-6724
21 2014 E. Ballico, S. Huh, F. Malaspina (2014). Globally generated vector
bundles of rank 2 on a smooth quadric threefold. JOURNAL OF PURE AND
APPLIED ALGEBRA, vol. 218, ISSN: 0022-4049, doi: 10.1016/j.jpaa.2013.05.005
22 2014 E. Ballico (2014). Gonality of curves with a singular model on an elliptic
quadric surface. TURKISH JOURNAL OF MATHEMATICS, vol. 38, p. 394-400,
ISSN: 1300-0098, doi: 10.3906/mat-1212-21
23 2014 E. Ballico (2014). Linear subspaces of symmetric tensors whose non-zero
elements have at least a prescribed rank. ARABIAN JOURNAL OF MATHEMATICS, vol. 3, p. 291-297, ISSN: 2193-5343, doi: 10.1007/s40065-014-0099-0
24 2014 E. Ballico, M. Elia (2014). On determinantal varieties of Hankel matrices. ALGEBRA, vol. 2014, ISSN: 2314-4106, doi: 10.1155/2014/970157
25 2014 E. Ballico, A. Ravagnani (2014). On the geometry of Hermitian onepoint codes. JOURNAL OF ALGEBRA, vol. 397, p. 499-514, ISSN: 0021-8693,
doi: 10.1016/j.jalgebra.2013.08.038
26 2014 E. Ballico, R. Ghiloni (2014). On the principle of real moduli flexibility:
perfect parametrizations. ANNALES POLONICI MATHEMATICI, vol. 111, p.
245-258, ISSN: 0066-2216, doi: 10.4064/ap111-3-3
27 2014 E. Ballico (2014). On the typical rank of real bivariate polynomials.
LINEAR ALGEBRA AND ITS APPLICATIONS, vol. 452, p. 263-269, ISSN:
0024-3795, doi: 10.1016/j.laa.2014.04.001
28 2014 E. Ballico (2014). On the typical rank of real polynomials (or symmetric
tensors) with a fixed border rank. ACTA MATHEMATICA VIETNAMICA, vol.
39, p. 367-378, ISSN: 0251-4184, doi: 10.1007/s40306-014-0068-x
29 2014 E. Ballico (2014). POSTULATION IN PROJECTIVE SPACES OF
A UNION OF A LOW DIMENSIONAL SCHEME AND GENERAL RATIONAL
CURVES OR GENERAL UNIONS OF LINES. GULF JOURNAL OF MATHEMATICS, vol. 2, p. 1-18, ISSN: 2309-4966
30 2014 E. Ballico (2014). Postulation in projective spaces of unions of a fixed
schemes and several high degree general curves. GULF JOURNAL OF MATHEMATICS, vol. 2, p. 1-13, ISSN: 2309-4966
31 2014 E. Ballico (2014). Postulation of general unions of lines and multiplicity two points in P3. ISRN GEOMETRY, vol. 2014, ISSN: 2090-6315, doi:
10.1155/2014/120850
32 2014 E. Ballico (2014). Projective curves, hyperplane sections and associated webs. LE MATEMATICHE, vol. 69, p. 57-68, ISSN: 0373-3505, doi:
10.4418/2014.69.2.6
33 2014 E. Ballico, S. Huh (2014). Stable sheaves on a smooth quadric surface
with linear Hilbert bipolynomials. THE SCIENTIFIC WORLD JOURNAL, vol.
2014, ISSN: 2356-6140, doi: 10.1155/2014/346126
34 2014 E. Ballico (2014). Weierstrass gaps at n points of a curve. JOURNAL OF
ALGEBRA, vol. 403, p. 439-444, ISSN: 0021-8693, doi: 10.1016/j.jalgebra.2014.01.027
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E. BALLICO
35 2013 E. Ballico (2013). An upper bound for the symmetric tensor rank of
a low degree polynomial in a large number of variables. GEOMETRY, vol. 2013,
ISSN: 2314-422X, doi: 10.1155/2013/715907
36 2013 E. Ballico (2013). An upper bound for the tensor rank. ISRN GEOMETRY, vol. 2013, ISSN: 2090-6315, doi: 10.1155/2013/241835
37 2013 E. Ballico (2013). Codes coming from a blowing up of the plane.
AFRIKA MATEMATIKA, vol. 24, p. 93-96, ISSN: 1012-9405, doi: 10.1007/s13370011-0042-x
38 2013 E. Ballico (2013). Curves with a node in projective spaces with good
postulation. BALKAN JOURNAL OF GEOMETRY AND ITS APPLICATIONS,
vol. 18, p. 12-21, ISSN: 1224-2780
39 2013 E. Ballico (2013). Finite defective subsets of projective spaces. RIVISTA
DI MATEMATICA DELLA UNIVERSIT DI PARMA, vol. 4, p. 113-122, ISSN:
0035-6298
40 2013 E. Ballico (2013). Finite subsets of projective spaces with bad postulation in a fixed degree. BEITRAGE ZUR ALGEBRA UND GEOMETRIE, vol. 54,
p. 81-103, ISSN: 0138-4821, doi: 10.1007/s13366-012-0104-8
41 2013 E. Ballico (2013). Gaps in the pairs (border rank, symmetric rank)
for symmetric tensors. SARAJEVO JOURNAL OF MATHEMATICS, vol. 9, p.
169-181, ISSN: 1840-0655, doi: 10.5644/SJM.09.2.02
42 2013 E. Ballico (2013). Generalized Hamming weights of codes obtained
from smooth plane curves. AFRIKA MATEMATIKA, vol. 24, p. 565-569, ISSN:
1012-9405, doi: 10.1007/s13370-012-0082-x
43 2013 E. Ballico, A. Bernardi, M. V. Catalisano, L. Chiantini (2013). Grassmann secants, identifiability, and linear systems of tensors. LINEAR ALGEBRA AND ITS APPLICATIONS, vol. 438, p. 121-135, ISSN: 0024-3795, doi:
10.1090/S0002-9939-2012-11191-8
44 2013 E. Ballico, A. Bernardi (2013). Minimal decomposition of binary forms
with respect to tangential projections. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, vol. 12, p. 1350010-1-1350010-8, ISSN: 0219-4988, doi: 10.1142/S0219498813500102
45 2013 E. Ballico (2013). Multiple points, scheme rank and symmetric tensor
rank. PORTUGALIAE MATHEMATICA, vol. 70, p. 243-250, ISSN: 0032-5155,
doi: 10.4171/PM/1933
46 2013 E. Ballico (2013). On the X-rank of linear subspaces. REVUE ROUMAINE
DE MATHMATIQUES PURES ET APPLIQUES, vol. 58, p. 437-451, ISSN: 00353965
47 2013 E. Ballico, A. Bernardi (2013). On the X-rank with respect to linearly
normal curves. COLLECTANEA MATHEMATICA, vol. 64, p. 141-154, ISSN:
0010-0757, doi: 10.1007//s13348-011-0058-4
48 2013 E. Ballico, A. Ravagnani (2013). On the dual minimum distance and
minimum weight of codes from a quotient of the Hermitian curve. APPLICABLE
ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, vol.
24, p. 343-354, ISSN: 0938-1279, doi: 10.1007/s00200-013-0206-z
49 2013 E. Ballico, A. Ravagnani (2013). On the duals of geometric Goppa codes
from norm-trace curves. FINITE FIELDS AND THEIR APPLICATIONS, vol. 20,
p. 30-39, ISSN: 1071-5797, doi: 10.1016/j.ffa.2012.08.005
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50 2013 E. Ballico, M. Elia, M. Sala (2013). On the evaluation of multivariate
polynomials over finite fields. JOURNAL OF SYMBOLIC COMPUTATION, vol.
50, p. 255-262, ISSN: 0747-7171, doi: 10.1016/j.jsc.2012.07.005
51 2013 E. Ballico (2013). On the gonality sequence of smooth curves: normalizations of singular curves in a quadric surface. ACTA MATHEMATICA VIETNAMICA, vol. 38, p. 563-573, ISSN: 0251-4184, doi: 10.1007/s40306-013-0035-y
52 2013 E. Ballico, L. Pernigotti (2013). On the surjectivity of weighted Gaussian
maps. RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, vol. 62,
p. 441-449, ISSN: 0009-725X, doi: 10.1007/s12215-013-0135-5
53 2013 E. Ballico (2013). Postulation of a union X subset Pr, r geq 4, of a given
zero-dimensional scheme and several general lines. ISRN GEOMETRY, vol. 2013,
ISSN: 2090-6315, doi: 10.1155/2013/391721
54 2013 E. Ballico, A. Ravagnani (2013). Projective normality of Artin-Schreier
curves. LE MATEMATICHE, vol. 68, p. 91-98, ISSN: 0373-3505, doi: 10.4418/2013.68.2.6
55 2013 E. Ballico (2013). Rank 1 decompositions of symmetric tensors outside a
fixed support. ISRN GEOMETRY, vol. 2013, ISSN: 2090-6315, doi: 10.1155/2013/704072
56 2013 E. Ballico, A. Bernardi (2013). Real and complex rank for real symmetric
tensors with low ranks. ALGEBRA, vol. 2013, p. 794054-1-794054-5, ISSN: 23144106, doi: 10.1155/2013/794054
57 2013 E. Ballico, L. Chiantini (2013). Sets computing the symmetric tensor
rank. MEDITERRANEAN JOURNAL OF MATHEMATICS, vol. 10, p. 643-654,
ISSN: 1660-5446, doi: 10.1007/s00009-012-0214-4
58 2013 E. Ballico, A. Bernardi (2013). Stratification of the fourth secant variety
of Veronese varieties via the symmetric rank. ADVANCES IN PURE AND APPLIED MATHEMATICS, vol. 4, p. 215-250, ISSN: 1867-1152, doi: 10.1515/apam2013-0015
59 2013 E. Ballico (2013). Symmetric tensor rank and scheme rank: an upper
bound in terms of secant varieties. GEOMETRY, vol. 2013, ISSN: 2314-422X, doi:
10.1155/2013/614195
60 2013 E. Ballico (2013). Symmetric tensor rank over an infinite field. ARABIAN JOURNAL OF MATHEMATICS, vol. 2, p. 345-348, ISSN: 2193-5343, doi:
10.1007/s40065-013-0079-9
61 2013 E. Ballico, A. Bernardi (2013). Tensor ranks on tangent developable
of Segre varieties. LINEAR & MULTILINEAR ALGEBRA, vol. 61, p. 881-894,
ISSN: 0308-1087, doi: 10.1080/03081087.2012.716430
62 2013 E. Ballico (2013). The Lroth semigroups of a curve over a non-algebraically
closed field. ARAB JOURNAL OF MATHEMATICAL SCIENCES, vol. 19, p.
145-149, ISSN: 1319-5166
63 2013 E. Ballico, A. Ravagnani (2013). The dual geometry of Hermitian twopoints codes. DISCRETE MATHEMATICS, vol. 313, p. 2687-2695, ISSN: 0012365X, doi: 10.1016/j.disc.2013.08.014
64 2013 E. Ballico, R. Ghiloni (2013). The principle of moduli flexibility for real
algebraic manifolds. ANNALES POLONICI MATHEMATICI, vol. 109, p. 1-28,
ISSN: 0066-2216, doi: 10.4064/ap109-1-1
65 2013 Edoardo Ballico, Alessandra Bernardi (2013). Unique decomposition for
a polynomial of low rank. ANNALES POLONICI MATHEMATICI, vol. 108, p.
219-224, ISSN: 0066-2216, doi: 10.1142/S0219498813500102
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E. BALLICO
66 2013 E. Ballico, R. Pignatelli, L. Tasin (2013). Weighted hypersurfaces with
either assigned volume or many vanishing plurigenera. COMMUNICATIONS IN
ALGEBRA, vol. 41, p. 3745-3752, ISSN: 0092-7872, doi: 10.1080/00927872.2012.677079
67 2012 E. Ballico, L. Chiantini (2012). A criterion for detecting the identifiability of symmetric tensors of size three. DIFFERENTIAL GEOMETRY AND ITS
APPLICATIONS, vol. 30, p. 233-237, ISSN: 0926-2245, doi: 10.1016/j.difgeo.2012.04.004
68 2012 E. Ballico, A. Bernardi (2012). A partial stratification of secant varieties of Veronese variaties via curvilinear subschemes. SARAJEVO JOURNAL OF
MATHEMATICS, vol. 8, p. 33-52, ISSN: 1840-0655
69 2012 E. Ballico (2012). Curves on a quadric surfaces over F p . LE MATEMATICHE, vol. 67, p. 39-43, ISSN: 0373-3505, doi: 10.4418/2012.67.2.4
70 2012 E. Ballico, A. Bernardi (2012). Decomposition of homogeneous polynomials with low rank. MATHEMATISCHE ZEITSCHRIFT, vol. 271, p. 1141-1149,
ISSN: 0025-5874, doi: 10.1007/s00209-011-0907-6
71 2012 E. Ballico (2012). Embeddings of general curves in projective spaces:
the range of the quadrics. LITHUANIAN MATHEMATICAL JOURNAL, vol. 52,
p. 134-137, ISSN: 0363-1672
72 2012 E. Ballico, A. Bernardi, M. V. Catalisano (2012). Higher secant varieties
of P n × P 1 embedded in bi-degree(a,b). COMMUNICATIONS IN ALGEBRA, vol.
40, p. 3822-3840, ISSN: 0092-7872, doi: 10.1080/00927872.2011.595748
73 2012 E. Ballico, F. Malaspina, P. Valabrega, M. Valenzano (2012). On Buchsbaum bundles on quadric hypersurfaces. CENTRAL EUROPEAN JOURNAL OF
MATHEMATICS, vol. 10, p. 1361-1379, ISSN: 1895-1074, doi: 10.2478/s11533012-0005-y
74 2012 Ballico E. (2012). On the defectivity of the complete embeddings of a
smooth 3-dimensional quadric. ADVANCES IN GEOMETRY, vol. 12, p. 501-508,
ISSN: 1615-715X, doi: 10.1515/advgeom-2011-060
75 2012 E. Ballico, C. Eyral, E. Gasparim (2012). On the geometry of moduli
spaces of anti-self-dual connections. TOPOLOGY AND ITS APPLICATIONS, vol.
159, p. 633-645, ISSN: 0166-8641, doi: 10.1016/j.topol.2011.10.011
76 2012 E. Ballico (2012). On the gonality sequence of smooth curves. ARCHIV
DER MATHEMATIK, vol. 99, p. 25-31, ISSN: 0003-889X, doi: 10.1007/s00013012-0409-8
77 2012 E. Ballico (2012). Postulation of disjoint unions of lines and double lines
in P 3 . MEDITERRANEAN JOURNAL OF MATHEMATICS, vol. 9, p. 551-562,
ISSN: 1660-5446, doi: 10.1007/s00009-011-0134-8
78 2012 E. Ballico, M.C. Brambilla, F. Caruso, M. Sala (2012). Postulation of
general quintuple fat point schemes in P3. JOURNAL OF ALGEBRA, vol. 363,
p. 113-139, ISSN: 0021-8693, doi: 10.1016/j.jalgebra.2012.03.022
79 2012 E. Ballico (2012). Scroll codes over curves of higher genus: reducible and
superstable vector bundles. DESIGNS, CODES AND CRYPTOGRAPHY, vol. 63,
p. 365-377, ISSN: 0925-1022, doi: 10.1007/s10623-011-9561-6
80 2012 E.Ballico (2012). Subsets of a projective variety X ⊂ P n spanning a
given P ∈ P n . ARAB JOURNAL OF MATHEMATICAL SCIENCES, vol. 18, p.
1-14, ISSN: 1319-5166
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81 2012 E. Ballico, A. Bernardi (2012). Symmetric tensor rank with a tangent vector: a generic uniqueness theorem. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, vol. 140, p. 3377-3384, ISSN: 0002-9939, doi:
10.1090/S0002-9939-2012-11191-8
Dept. of Mathematics, University of Trento, 3123 Povo (TN), Italy
E-mail address: [email protected]
