Ballico, Edoardo; Bernardi, Alessandra; Santarsiero, Pierpaola Terracini locus for three points on a Segre variety. (English) Zbl 07764765 Asian J. Math. 27, No. 3, 375-404 (2023). MSC: 14N07 15A69 PDFBibTeX XMLCite \textit{E. Ballico} et al., Asian J. Math. 27, No. 3, 375--404 (2023; Zbl 07764765) Full Text: DOI arXiv
Ballico, Edoardo Typical labels of real forms. (English) Zbl 1521.14094 Riv. Mat. Univ. Parma (N.S.) 14, No. 1, 87-95 (2023). MSC: 14N05 15A69 PDFBibTeX XMLCite \textit{E. Ballico}, Riv. Mat. Univ. Parma (N.S.) 14, No. 1, 87--95 (2023; Zbl 1521.14094) Full Text: Link
Ballico, Edoardo Terracini loci of codimension \(1\) and a criterion for partially symmetric tensors. (English) Zbl 1511.14088 Commun. Korean Math. Soc. 38, No. 1, 47-53 (2023). MSC: 14N05 14N07 15A69 PDFBibTeX XMLCite \textit{E. Ballico}, Commun. Korean Math. Soc. 38, No. 1, 47--53 (2023; Zbl 1511.14088) Full Text: DOI
Altavilla, Amedeo; Ballico, Edoardo; Brambilla, Maria Chiara; Salamon, Simon Twistor geometry of the flag manifold. (English) Zbl 1507.14069 Math. Z. 303, No. 1, Paper No. 24, 43 p. (2023). Reviewer: Joan Pons-Llopis (Maó) MSC: 14M15 14D21 32L25 14J26 14M25 15A21 53C15 53C28 PDFBibTeX XMLCite \textit{A. Altavilla} et al., Math. Z. 303, No. 1, Paper No. 24, 43 p. (2023; Zbl 1507.14069) Full Text: DOI arXiv
Ballico, Edoardo Partially symmetric tensors and the non-defectivity of secant varieties of products with a projective line as a factor. arXiv:2306.05932 Preprint, arXiv:2306.05932 [math.AG] (2023). MSC: 14N05 14N07 15A69 BibTeX Cite \textit{E. Ballico}, ``Partially symmetric tensors and the non-defectivity of secant varieties of products with a projective line as a factor'', Preprint, arXiv:2306.05932 [math.AG] (2023) Full Text: arXiv OA License
Ballico, E. Identifiability for the \(k\)-secant variety of the Segre-Veronese varieties. (English) Zbl 1509.14104 Linear Multilinear Algebra 70, No. 21, 6441-6451 (2022). MSC: 14N05 15A69 PDFBibTeX XMLCite \textit{E. Ballico}, Linear Multilinear Algebra 70, No. 21, 6441--6451 (2022; Zbl 1509.14104) Full Text: DOI
Ballico, E. A numerical range characterization of unitary matrices over a finite field. (English) Zbl 1498.15038 Asian-Eur. J. Math. 15, No. 3, Article ID 2250049, 5 p. (2022). MSC: 15B33 15A60 47A12 PDFBibTeX XMLCite \textit{E. Ballico}, Asian-Eur. J. Math. 15, No. 3, Article ID 2250049, 5 p. (2022; Zbl 1498.15038) Full Text: DOI
Ballico, Edoardo A characterization of \(\mathbb{F}_q\)-linear subsets of affine spaces \(\mathbb{F}_{q^2}^n\). (English. Spanish summary) Zbl 1490.15032 Cubo 24, No. 1, 95-103 (2022). MSC: 15A60 15A63 15B57 15B33 12E20 51A35 PDFBibTeX XMLCite \textit{E. Ballico}, Cubo 24, No. 1, 95--103 (2022; Zbl 1490.15032) Full Text: DOI Link
Ballico, Edoardo; Bik, Arthur; Oneto, Alessandro; Ventura, Emanuele The set of forms with bounded strength is not closed. (English) Zbl 1485.13002 C. R., Math., Acad. Sci. Paris 360, 371-380 (2022). MSC: 13A02 13A50 11B30 13E05 15A69 13D05 PDFBibTeX XMLCite \textit{E. Ballico} et al., C. R., Math., Acad. Sci. Paris 360, 371--380 (2022; Zbl 1485.13002) Full Text: DOI arXiv
Ballico, Edoardo; Bernardi, Alessandra; Ventura, Emanuele Strict inclusions of high rank loci. (English) Zbl 1476.14091 J. Symb. Comput. 109, 238-249 (2022). Reviewer: Nathan Grieve (Kingston) MSC: 14N07 14N05 15A72 PDFBibTeX XMLCite \textit{E. Ballico} et al., J. Symb. Comput. 109, 238--249 (2022; Zbl 1476.14091) Full Text: DOI arXiv
Ballico, Edoardo Open \(X\)-ranks with respect to Segre and Veronese varieties. (English) Zbl 1476.14089 Note Mat. 41, No. 1, 19-30 (2021). Reviewer: Alessandro Gimigliano (Bologna) MSC: 14N07 15A69 PDFBibTeX XMLCite \textit{E. Ballico}, Note Mat. 41, No. 1, 19--30 (2021; Zbl 1476.14089) Full Text: DOI
Ballico, Edoardo; Bernardi, Alessandra; Santarsiero, Pierpaola Identifiability of rank-3 tensors. (English) Zbl 1475.14101 Mediterr. J. Math. 18, No. 4, Paper No. 174, 26 p. (2021). Reviewer: Alessandro Gimigliano (Bologna) MSC: 14N07 15A69 PDFBibTeX XMLCite \textit{E. Ballico} et al., Mediterr. J. Math. 18, No. 4, Paper No. 174, 26 p. (2021; Zbl 1475.14101) Full Text: DOI arXiv
Ballico, E. Reconstruction of a homogeneous polynomial from its additive decompositions when identifiability fails. (English) Zbl 1516.14097 Arab J. Math. Sci. 27, No. 1, 41-52 (2021). MSC: 14N05 14H99 15A69 PDFBibTeX XMLCite \textit{E. Ballico}, Arab J. Math. Sci. 27, No. 1, 41--52 (2021; Zbl 1516.14097) Full Text: DOI arXiv
Ballico, Edoardo On the cactus rank of embedded varieties with generically nice osculating spaces. (English) Zbl 1462.14055 Rend. Semin. Mat., Univ. Politec. Torino 79, No. 1, 5-13 (2021). MSC: 14N07 13A02 15A69 PDFBibTeX XMLCite \textit{E. Ballico}, Rend. Semin. Mat., Univ. Politec. Torino 79, No. 1, 5--13 (2021; Zbl 1462.14055) Full Text: Link
Ballico, Edoardo Linearly dependent and concise subsets of a Segre variety depending on \(k\) factors. (English) Zbl 1464.14053 Bull. Korean Math. Soc. 58, No. 1, 253-267 (2021). MSC: 14N07 14N05 15A69 PDFBibTeX XMLCite \textit{E. Ballico}, Bull. Korean Math. Soc. 58, No. 1, 253--267 (2021; Zbl 1464.14053) Full Text: DOI arXiv
Ballico, Edoardo Partially complex ranks for real projective varieties. (English) Zbl 1460.14117 Riv. Mat. Univ. Parma (N.S.) 11, No. 2, 207-216 (2020). MSC: 14N07 15A69 14P05 PDFBibTeX XMLCite \textit{E. Ballico}, Riv. Mat. Univ. Parma (N.S.) 11, No. 2, 207--216 (2020; Zbl 1460.14117) Full Text: arXiv Link
Ballico, E. On the numerical range of matrices defined over a finite field. (English) Zbl 1460.15034 Finite Fields Appl. 67, Article ID 101730, 13 p. (2020). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 15B33 15A60 12E20 PDFBibTeX XMLCite \textit{E. Ballico}, Finite Fields Appl. 67, Article ID 101730, 13 p. (2020; Zbl 1460.15034) Full Text: DOI Link
Ballico, E. Large families of homogeneous polynomials with non-unique additive decompositions. (English) Zbl 1437.14052 Beitr. Algebra Geom. 61, No. 1, 35-45 (2020). Reviewer: Alessandro Gimigliano (Bologna) MSC: 14N07 14N05 15A69 PDFBibTeX XMLCite \textit{E. Ballico}, Beitr. Algebra Geom. 61, No. 1, 35--45 (2020; Zbl 1437.14052) Full Text: DOI
Ballico, Edoardo Ranks and general linear projections. (English) Zbl 1440.14239 Rend. Semin. Mat., Univ. Politec. Torino 77, No. 1, 5-11 (2019). MSC: 14N07 15A69 PDFBibTeX XMLCite \textit{E. Ballico}, Rend. Semin. Mat., Univ. Politec. Torino 77, No. 1, 5--11 (2019; Zbl 1440.14239) Full Text: Link
Ballico, Edoardo An effective criterion for the additive decompositions of forms. (English) Zbl 1440.14238 Rend. Ist. Mat. Univ. Trieste 51, 1-12 (2019). MSC: 14N07 14N05 15A69 15A72 14N20 PDFBibTeX XMLCite \textit{E. Ballico}, Rend. Ist. Mat. Univ. Trieste 51, 1--12 (2019; Zbl 1440.14238) Full Text: DOI arXiv
Ballico, Edoardo The matrix-valued numerical range over finite fields. (English) Zbl 1431.15013 Turk. J. Math. 43, No. 4, 2058-2068 (2019). Reviewer: Yansheng Wu (Nanjing) MSC: 15A60 15B33 15B57 PDFBibTeX XMLCite \textit{E. Ballico}, Turk. J. Math. 43, No. 4, 2058--2068 (2019; Zbl 1431.15013) Full Text: Link
Ballico, E. Numerical range over finite fields: restriction to subspaces. (English) Zbl 1442.15035 Linear Algebra Appl. 571, 1-13 (2019). MSC: 15A60 15A63 12E20 PDFBibTeX XMLCite \textit{E. Ballico}, Linear Algebra Appl. 571, 1--13 (2019; Zbl 1442.15035) Full Text: DOI
Ballico, Edoardo; Bernardi, Alessandra; Christandl, Matthias; Gesmundo, Fulvio On the partially symmetric rank of tensor products of \(W\)-states and other symmetric tensors. (English) Zbl 1476.14090 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 30, No. 1, 93-124 (2019). Reviewer: Elena Guardo (Catania) MSC: 14N07 15A69 14M20 PDFBibTeX XMLCite \textit{E. Ballico} et al., Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 30, No. 1, 93--124 (2019; Zbl 1476.14090) Full Text: DOI arXiv
Ballico, Edoardo The numerical range of matrices over \(\mathbb{F}_4\). (English) Zbl 1410.15042 Turk. J. Math. 43, No. 2, 955-964 (2019). MSC: 15A60 15B33 PDFBibTeX XMLCite \textit{E. Ballico}, Turk. J. Math. 43, No. 2, 955--964 (2019; Zbl 1410.15042) Full Text: DOI
Ballico, Edoardo; Bernardi, Alessandra On the ranks of the third secant variety of Segre-Veronese embeddings. (English) Zbl 1407.15032 Linear Multilinear Algebra 67, No. 3, 583-597 (2019). MSC: 15A69 14N05 PDFBibTeX XMLCite \textit{E. Ballico} and \textit{A. Bernardi}, Linear Multilinear Algebra 67, No. 3, 583--597 (2019; Zbl 1407.15032) Full Text: DOI arXiv
Ballico, E. Partially symmetric tensor rank: the description of the non-uniqueness case for low rank. (English) Zbl 1427.15027 Linear Multilinear Algebra 66, No. 3, 608-624 (2018). MSC: 15A69 14N05 PDFBibTeX XMLCite \textit{E. Ballico}, Linear Multilinear Algebra 66, No. 3, 608--624 (2018; Zbl 1427.15027) Full Text: DOI
Ballico, Edoardo On the numerical range of square matrices with coefficients in a degree 2 Galois field extension. (English) Zbl 1424.15038 Turk. J. Math. 42, No. 4, 1698-1710 (2018). MSC: 15A60 15B33 13B05 PDFBibTeX XMLCite \textit{E. Ballico}, Turk. J. Math. 42, No. 4, 1698--1710 (2018; Zbl 1424.15038) Full Text: DOI arXiv
Ballico, Edoardo Restriction of a quadratic form over a finite field to a nondegenerate affine quadric hypersurface. (English) Zbl 1424.11090 Turk. J. Math. 42, No. 1, 1-11 (2018). MSC: 11E08 15A63 PDFBibTeX XMLCite \textit{E. Ballico}, Turk. J. Math. 42, No. 1, 1--11 (2018; Zbl 1424.11090) Full Text: DOI Link
Ballico, Edoardo; Bernardi, Alessandra; Chiantini, Luca On the dimension of contact loci and the identifiability of tensors. (English) Zbl 1464.14054 Ark. Mat. 56, No. 2, 265-283 (2018). MSC: 14N07 15A69 PDFBibTeX XMLCite \textit{E. Ballico} et al., Ark. Mat. 56, No. 2, 265--283 (2018; Zbl 1464.14054) Full Text: DOI arXiv
Ballico, Edoardo On the ranks of homogeneous polynomials of degree at least 9 and border rank 5. (English) Zbl 1405.14126 Note Mat. 38, No. 2, 55-92 (2018). MSC: 14N05 15A69 PDFBibTeX XMLCite \textit{E. Ballico}, Note Mat. 38, No. 2, 55--92 (2018; Zbl 1405.14126) Full Text: DOI
Ballico, Edoardo Ranks on the boundaries of secant varieties. (English) Zbl 1405.14125 N. Z. J. Math. 48, 31-38 (2018). MSC: 14N05 15A69 PDFBibTeX XMLCite \textit{E. Ballico}, N. Z. J. Math. 48, 31--38 (2018; Zbl 1405.14125) Full Text: arXiv Link
Ballico, Edoardo; Bernardi, Alessandra; Chiantini, Luca; Guardo, Elena Bounds on the tensor rank. (English) Zbl 1411.14058 Ann. Mat. Pura Appl. (4) 197, No. 6, 1771-1785 (2018). Reviewer: Alessandro Gimigliano (Bologna) MSC: 14N05 15A72 PDFBibTeX XMLCite \textit{E. Ballico} et al., Ann. Mat. Pura Appl. (4) 197, No. 6, 1771--1785 (2018; Zbl 1411.14058) Full Text: DOI arXiv
Ballico, Edoardo Beyond the cactus rank of tensors. (English) Zbl 1402.14069 Bull. Korean Math. Soc. 55, No. 5, 1587-1598 (2018). MSC: 14N05 15A69 PDFBibTeX XMLCite \textit{E. Ballico}, Bull. Korean Math. Soc. 55, No. 5, 1587--1598 (2018; Zbl 1402.14069) Full Text: Link
Ballico, E. Corrigendum to: “On the numerical range of matrices over a finite field”. (English) Zbl 1442.15051 Linear Algebra Appl. 556, 421-427 (2018). MSC: 15B33 15A60 PDFBibTeX XMLCite \textit{E. Ballico}, Linear Algebra Appl. 556, 421--427 (2018; Zbl 1442.15051) Full Text: DOI
Ballico, Edoardo The Hermitian null-range of a matrix over a finite field. (English) Zbl 1397.15035 Electron. J. Linear Algebra 34, 205-216 (2018). MSC: 15B33 12E20 15A60 PDFBibTeX XMLCite \textit{E. Ballico}, Electron. J. Linear Algebra 34, 205--216 (2018; Zbl 1397.15035) Full Text: arXiv
Ballico, Edoardo; Bernardi, Alessandra Typical and admissible ranks over fields. (English) Zbl 1391.14106 Rend. Circ. Mat. Palermo (2) 67, No. 1, 115-128 (2018). MSC: 14N05 15A69 14P99 PDFBibTeX XMLCite \textit{E. Ballico} and \textit{A. Bernardi}, Rend. Circ. Mat. Palermo (2) 67, No. 1, 115--128 (2018; Zbl 1391.14106) Full Text: DOI arXiv
Ballico, Edoardo On the \(X\)-ranks associated to a linear subspace. (English) Zbl 1370.14045 Gulf J. Math. 5, No. 2, 1-11 (2017). MSC: 14N05 15A03 15A69 PDFBibTeX XMLCite \textit{E. Ballico}, Gulf J. Math. 5, No. 2, 1--11 (2017; Zbl 1370.14045) Full Text: Link
Ballico, Edoardo; De Paris, Alessandro Generic power sum decompositions and bounds for the Waring rank. (English) Zbl 1369.15004 Discrete Comput. Geom. 57, No. 4, 896-914 (2017). Reviewer: Rick Rischter (Itajubá) MSC: 15A21 15A69 15A72 14N05 14N15 11P05 15A03 PDFBibTeX XMLCite \textit{E. Ballico} and \textit{A. De Paris}, Discrete Comput. Geom. 57, No. 4, 896--914 (2017; Zbl 1369.15004) Full Text: DOI arXiv
Ballico, Edoardo; Bernardi, Alessandra A uniqueness result on the decompositions of a bi-homogeneous polynomial. (English) Zbl 1362.14054 Linear Multilinear Algebra 65, No. 4, 677-698 (2017). Reviewer: Rick Rischter (Itajubá) MSC: 14N05 15A69 PDFBibTeX XMLCite \textit{E. Ballico} and \textit{A. Bernardi}, Linear Multilinear Algebra 65, No. 4, 677--698 (2017; Zbl 1362.14054) Full Text: DOI arXiv
Ballico, E. On the numerical range of matrices over a finite field. (English) Zbl 1353.15028 Linear Algebra Appl. 512, 162-171 (2017); corrigendum ibid. 556, 421-427 (2018). MSC: 15B33 15A60 PDFBibTeX XMLCite \textit{E. Ballico}, Linear Algebra Appl. 512, 162--171 (2017; Zbl 1353.15028) Full Text: DOI
Ballico, E. On the convexity of numerical range over certain fields. arXiv:1611.06082 Preprint, arXiv:1611.06082 [math.AC] (2016). MSC: 15A33 15A60 12D99 12F10 12J15 BibTeX Cite \textit{E. Ballico}, ``On the convexity of numerical range over certain fields'', Preprint, arXiv:1611.06082 [math.AC] (2016) Full Text: arXiv OA License
Ballico, E. Linear subspaces of matrices associated to a Ferrers diagram and with a prescribed lower bound for their rank. (English) Zbl 1321.15033 Linear Algebra Appl. 483, 30-39 (2015). MSC: 15A30 15A03 11C20 12E20 11R21 PDFBibTeX XMLCite \textit{E. Ballico}, Linear Algebra Appl. 483, 30--39 (2015; Zbl 1321.15033) Full Text: DOI
Ballico, E. Representations of homogeneous polynomials as a sum of powers of linear forms with restricted support. (English) Zbl 1351.14034 Rend. Circ. Mat. Palermo (2) 64, No. 1, 1-25 (2015). Reviewer: Maria Chiara Brambilla (Ancona) MSC: 14N05 15A69 PDFBibTeX XMLCite \textit{E. Ballico}, Rend. Circ. Mat. Palermo (2) 64, No. 1, 1--25 (2015; Zbl 1351.14034) Full Text: DOI
Ballico, Edoardo; Elia, Michele On determinantal varieties of Hankel matrices. (English) Zbl 1327.14216 Algebra 2014, Article ID 970157, 7 p. (2014). MSC: 14M12 15B05 PDFBibTeX XMLCite \textit{E. Ballico} and \textit{M. Elia}, Algebra 2014, Article ID 970157, 7 p. (2014; Zbl 1327.14216) Full Text: DOI
Ballico, Edoardo Symmetric tensor rank and the identification of a point using linear spans of an embedded variety. (English) Zbl 1309.14040 Albanian J. Math. 8, No. 1, 9-22 (2014). MSC: 14N05 14H99 15A69 PDFBibTeX XMLCite \textit{E. Ballico}, Albanian J. Math. 8, No. 1, 9--22 (2014; Zbl 1309.14040)
Ballico, E. Symmetric tensor rank, cactus rank and related complexity measures for homogeneous polynomials. (English) Zbl 1308.14053 Int. Electron. J. Geom. 7, No. 1, 126-132 (2014). MSC: 14N05 14Q05 15A69 PDFBibTeX XMLCite \textit{E. Ballico}, Int. Electron. J. Geom. 7, No. 1, 126--132 (2014; Zbl 1308.14053)
Ballico, E. Linear subspaces of symmetric tensors whose non-zero elements have at least a prescribed rank. (English) Zbl 1305.14022 Arab. J. Math. 3, No. 3, 291-297 (2014). MSC: 14N05 15A69 PDFBibTeX XMLCite \textit{E. Ballico}, Arab. J. Math. 3, No. 3, 291--297 (2014; Zbl 1305.14022) Full Text: DOI
Ballico, Edoardo On the typical rank of real polynomials (or symmetric tensors) with a fixed border rank. (English) Zbl 1308.14054 Acta Math. Vietnam. 39, No. 3, 367-378 (2014). MSC: 14N05 14Q05 15A69 PDFBibTeX XMLCite \textit{E. Ballico}, Acta Math. Vietnam. 39, No. 3, 367--378 (2014; Zbl 1308.14054) Full Text: DOI arXiv
Ballico, E. An upper bound for the real tensor rank and the real symmetric tensor rank in terms of the complex ranks. (English) Zbl 1301.14029 Linear Multilinear Algebra 62, No. 11, 1546-1552 (2014). MSC: 14N05 14Q05 15A69 PDFBibTeX XMLCite \textit{E. Ballico}, Linear Multilinear Algebra 62, No. 11, 1546--1552 (2014; Zbl 1301.14029) Full Text: DOI
Ballico, Edoardo On the typical rank of real bivariate polynomials. (English) Zbl 1302.14043 Linear Algebra Appl. 452, 263-269 (2014). MSC: 14N05 15A69 PDFBibTeX XMLCite \textit{E. Ballico}, Linear Algebra Appl. 452, 263--269 (2014; Zbl 1302.14043) Full Text: DOI arXiv
Ballico, E. Open rank (or widerank) for reducible projective sets: a classification of an extremal case. (English) Zbl 1286.14070 Int. J. Pure Appl. Math. 91, No. 3, 389-394 (2014). MSC: 14N05 14Q05 15A69 PDFBibTeX XMLCite \textit{E. Ballico}, Int. J. Pure Appl. Math. 91, No. 3, 389--394 (2014; Zbl 1286.14070) Full Text: Link
Ballico, E. On the ranks of points of tangent developables (scrolls and Segre-Veronese varieties). (English) Zbl 1286.14069 Int. J. Pure Appl. Math. 91, No. 3, 381-387 (2014). MSC: 14N05 14Q05 15A69 PDFBibTeX XMLCite \textit{E. Ballico}, Int. J. Pure Appl. Math. 91, No. 3, 381--387 (2014; Zbl 1286.14069) Full Text: Link
Ballico, E. On the generic rank of linear spans of tangent vectors. (English) Zbl 1286.14068 Int. J. Pure Appl. Math. 91, No. 3, 361-367 (2014). MSC: 14N05 14Q05 15A69 PDFBibTeX XMLCite \textit{E. Ballico}, Int. J. Pure Appl. Math. 91, No. 3, 361--367 (2014; Zbl 1286.14068) Full Text: Link
Ballico, Edoardo; Bernardi, Alessandra Real and complex rank for real symmetric tensors with low ranks. (English) Zbl 1327.14232 Algebra 2013, Article ID 794054, 5 p. (2013). MSC: 14N05 15A72 15B48 PDFBibTeX XMLCite \textit{E. Ballico} and \textit{A. Bernardi}, Algebra 2013, Article ID 794054, 5 p. (2013; Zbl 1327.14232) Full Text: DOI arXiv
Ballico, E. An upper bound for the symmetric tensor rank of a low degree polynomial in a large number of variables. (English) Zbl 1307.15035 Geometry 2013, Article ID 715907, 2 p. (2013). MSC: 15A72 14N05 PDFBibTeX XMLCite \textit{E. Ballico}, Geometry 2013, Article ID 715907, 2 p. (2013; Zbl 1307.15035) Full Text: DOI
Ballico, E. Symmetric tensor rank and scheme rank: an upper bound in terms of secant varieties. (English) Zbl 1325.14071 Geometry 2013, Article ID 614195, 3 p. (2013). MSC: 14N05 15A69 PDFBibTeX XMLCite \textit{E. Ballico}, Geometry 2013, Article ID 614195, 3 p. (2013; Zbl 1325.14071) Full Text: DOI
Ballico, E. On the \(X\)-rank of linear subspaces. (English) Zbl 1313.14006 Rev. Roum. Math. Pures Appl. 58, No. 4, 437-451 (2013). MSC: 14N05 14M15 15A69 PDFBibTeX XMLCite \textit{E. Ballico}, Rev. Roum. Math. Pures Appl. 58, No. 4, 437--451 (2013; Zbl 1313.14006)
Ballico, E. Gaps in the pairs (border rank, symmetric rank) for symmetric tensors. (English) Zbl 1291.14082 Sarajevo J. Math. 9(22), No. 2, 169-181 (2013). MSC: 14N05 15A69 15A21 PDFBibTeX XMLCite \textit{E. Ballico}, Sarajevo J. Math. 9(22), No. 2, 169--181 (2013; Zbl 1291.14082) Full Text: DOI arXiv
Ballico, E. Rank 1 decompositions of symmetric tensors outside a fixed support. (English) Zbl 1292.15025 ISRN Geom. 2013, Article ID 704072, 4 p. (2013). MSC: 15A69 PDFBibTeX XMLCite \textit{E. Ballico}, ISRN Geom. 2013, Article ID 704072, 4 p. (2013; Zbl 1292.15025) Full Text: DOI
Ballico, Edoardo Multiple points, scheme rank and symmetric tensor rank. (English) Zbl 1286.14071 Port. Math. (N.S.) 70, No. 3, 243-250 (2013). MSC: 14N05 14Q05 15A69 PDFBibTeX XMLCite \textit{E. Ballico}, Port. Math. (N.S.) 70, No. 3, 243--250 (2013; Zbl 1286.14071) Full Text: DOI
Ballico, E. Symmetric tensor rank over an infinite field. (English) Zbl 1276.14077 Arab. J. Math. 2, No. 4, 345-348 (2013). MSC: 14N05 14Q05 15A69 PDFBibTeX XMLCite \textit{E. Ballico}, Arab. J. Math. 2, No. 4, 345--348 (2013; Zbl 1276.14077) Full Text: DOI
Ballico, Edoardo; Bernardi, Alessandra Stratification of the fourth secant variety of Veronese varieties via the symmetric rank. (English) Zbl 1317.14117 Adv. Pure Appl. Math. 4, No. 2, 215-250 (2013). Reviewer: Luca Chiantini (Siena) MSC: 14N05 15A21 PDFBibTeX XMLCite \textit{E. Ballico} and \textit{A. Bernardi}, Adv. Pure Appl. Math. 4, No. 2, 215--250 (2013; Zbl 1317.14117) Full Text: DOI arXiv
Ballico, E. An upper bound for the tensor rank. (English) Zbl 1268.15026 ISRN Geom. 2013, Article ID 241835, 3 p. (2013). MSC: 15A72 15A03 PDFBibTeX XMLCite \textit{E. Ballico}, ISRN Geom. 2013, Article ID 241835, 3 p. (2013; Zbl 1268.15026) Full Text: DOI
Ballico, Edoardo; Chiantini, Luca Sets computing the symmetric tensor rank. (English) Zbl 1272.14039 Mediterr. J. Math. 10, No. 2, 643-654 (2013). Reviewer: Alessandra Bernardi (Torino) MSC: 14N05 15A69 PDFBibTeX XMLCite \textit{E. Ballico} and \textit{L. Chiantini}, Mediterr. J. Math. 10, No. 2, 643--654 (2013; Zbl 1272.14039) Full Text: DOI arXiv Link
Ballico, Edoardo; Bernardi, Alessandra Unique decomposition for a polynomial of low rank. (English) Zbl 1297.14058 Ann. Pol. Math. 108, No. 3, 219-224 (2013). Reviewer: Luca Chiantini (Siena) MSC: 14N15 15A21 14N05 PDFBibTeX XMLCite \textit{E. Ballico} and \textit{A. Bernardi}, Ann. Pol. Math. 108, No. 3, 219--224 (2013; Zbl 1297.14058) Full Text: DOI arXiv
Ballico, Edoardo; Bernardi, Alessandra; Catalisano, Maria Virginia; Chiantini, Luca Grassmann secants, identifiability, and linear systems of tensors. (English) Zbl 1255.14044 Linear Algebra Appl. 438, No. 1, 121-135 (2013). MSC: 14N05 15A72 PDFBibTeX XMLCite \textit{E. Ballico} et al., Linear Algebra Appl. 438, No. 1, 121--135 (2013; Zbl 1255.14044) Full Text: DOI arXiv
Ballico, E. Finite sets and postulation: further remarks. (English) Zbl 1266.14044 Int. J. Pure Appl. Math. 80, No. 3, 411-424 (2012). Reviewer: Alessandra Bernardi (Torino) MSC: 14N05 15A69 15A21 PDFBibTeX XMLCite \textit{E. Ballico}, Int. J. Pure Appl. Math. 80, No. 3, 411--424 (2012; Zbl 1266.14044) Full Text: Link
Ballico, Edoardo; Brambilla, Maria Chiara; Caruso, Fabrizio; Sala, Massimiliano Postulation of general quintuple fat point schemes in \(\mathbb P^3\). (English) Zbl 1262.14067 J. Algebra 363, 113-139 (2012). Reviewer: Elena Guardo (Catania) MSC: 14N05 15A72 65D05 PDFBibTeX XMLCite \textit{E. Ballico} et al., J. Algebra 363, 113--139 (2012; Zbl 1262.14067) Full Text: DOI arXiv
Ballico, E. E-eigenvalues of tensors in positive characteristic. (English) Zbl 1271.15007 Int. J. Pure Appl. Math. 81, No. 3, 421-424 (2012). Reviewer: Jaroslav Zemánek (Warszawa) MSC: 15A69 PDFBibTeX XMLCite \textit{E. Ballico}, Int. J. Pure Appl. Math. 81, No. 3, 421--424 (2012; Zbl 1271.15007) Full Text: Link
Ballico, Edoardo; Bernardi, Alessandra; Catalisano, Maria Virginia Higher secant varieties of \(\mathbb P^n \times \mathbb P^1\) embedded in bi-degree \((a, b)\). (English) Zbl 1262.14066 Commun. Algebra 40, No. 10, 3822-3840 (2012). Reviewer: Luca Chiantini (Siena) MSC: 14N05 15A69 PDFBibTeX XMLCite \textit{E. Ballico} et al., Commun. Algebra 40, No. 10, 3822--3840 (2012; Zbl 1262.14066) Full Text: DOI arXiv
Ballico, E. Finite sets and postulation: further remarks. (English) Zbl 1253.14051 Int. J. Pure Appl. Math. 79, No. 2, 343-356 (2012). MSC: 14N05 15A69 15A21 PDFBibTeX XMLCite \textit{E. Ballico}, Int. J. Pure Appl. Math. 79, No. 2, 343--356 (2012; Zbl 1253.14051) Full Text: Link
Ballico, Edoardo; Bernardi, Alessandra Decomposition of homogeneous polynomials with low rank. (English) Zbl 1252.14032 Math. Z. 271, No. 3-4, 1141-1149 (2012). Reviewer: Luca Chiantini (Siena) MSC: 14N05 15A21 PDFBibTeX XMLCite \textit{E. Ballico} and \textit{A. Bernardi}, Math. Z. 271, No. 3--4, 1141--1149 (2012; Zbl 1252.14032) Full Text: DOI arXiv Link
Ballico, Edoardo; Chiantini, Luca A criterion for detecting the identifiability of symmetric tensors of size three. (English) Zbl 1242.14051 Differ. Geom. Appl. 30, No. 3, 233-237 (2012). MSC: 14N05 15A69 PDFBibTeX XMLCite \textit{E. Ballico} and \textit{L. Chiantini}, Differ. Geom. Appl. 30, No. 3, 233--237 (2012; Zbl 1242.14051) Full Text: DOI arXiv
Ballico, E. Tensor ranks and symmetric tensor ranks are the same for points with low symmetric tensor rank. (English) Zbl 1222.14111 Arch. Math. 96, No. 6, 531-534 (2011). MSC: 14N05 15A72 15A69 PDFBibTeX XMLCite \textit{E. Ballico}, Arch. Math. 96, No. 6, 531--534 (2011; Zbl 1222.14111) Full Text: DOI
Ballico, E. On the postulation of a general union of triple points and double points in \(\mathbb{P}^4\). (English) Zbl 1203.14063 Int. J. Pure Appl. Math. 61, No. 4, 409-436 (2010). MSC: 14N05 15A72 65D05 PDFBibTeX XMLCite \textit{E. Ballico}, Int. J. Pure Appl. Math. 61, No. 4, 409--436 (2010; Zbl 1203.14063)
Ballico, Edoardo; Brambilla, Maria Chiara Postulation of general quartuple fat point schemes in \(\mathbb{P}^3\). (English) Zbl 1170.14039 J. Pure Appl. Algebra 213, No. 6, 1002-1012 (2009). Reviewer: Alessandro Gimigliano (Bologna) MSC: 14N05 15A72 65D05 PDFBibTeX XMLCite \textit{E. Ballico} and \textit{M. C. Brambilla}, J. Pure Appl. Algebra 213, No. 6, 1002--1012 (2009; Zbl 1170.14039) Full Text: DOI arXiv
Ballico, E. A partial multivariate polynomial interpolation problem. (English) Zbl 1132.14328 Int. Math. Forum 2, No. 61-64, 3089-3094 (2007). MSC: 14N05 15A72 65D05 PDFBibTeX XMLCite \textit{E. Ballico}, Int. Math. Forum 2, No. 61--64, 3089--3094 (2007; Zbl 1132.14328) Full Text: DOI
Ballico, E. Linear spaces of matrices, symmetric matrices or Hermitian matrices with a fixed rank over a finite field. (English) Zbl 1140.15012 Int. J. Pure Appl. Math. 39, No. 2, 217-219 (2007). Reviewer: Václav Burjan (Praha) MSC: 15A30 12E20 14N05 15B57 15B33 PDFBibTeX XMLCite \textit{E. Ballico}, Int. J. Pure Appl. Math. 39, No. 2, 217--219 (2007; Zbl 1140.15012)
Ballico, E. Linear spaces of matrices, symmetric matrices or Hermitian matrices with a rank over a finite field. (English) Zbl 1170.15007 Int. J. Pure Appl. Math. 38, No. 2, 217-219 (2007). Reviewer: Marjeta Kramar Fijavž (Ljubljana) MSC: 15A30 15A03 12E20 15B33 15B57 PDFBibTeX XMLCite \textit{E. Ballico}, Int. J. Pure Appl. Math. 38, No. 2, 217--219 (2007; Zbl 1170.15007)
Ballico, E. Band diagonal matrices and unitary or orthogonal transformations. (English) Zbl 1075.15014 Int. J. Pure Appl. Math. 15, No. 1, 37-40 (2004). Reviewer: Witold Wiȩsław (Wrocław) MSC: 15A21 PDFBibTeX XMLCite \textit{E. Ballico}, Int. J. Pure Appl. Math. 15, No. 1, 37--40 (2004; Zbl 1075.15014)
Ballico, E. Rank factorization and bordering of regular matrices over commutative rings. (English) Zbl 0951.15012 Linear Algebra Appl. 305, No. 1-3, 187-190 (2000). Reviewer: Philippe Elbaz-Vincent (Montpellier) MSC: 15A23 15A18 15A09 13C10 PDFBibTeX XMLCite \textit{E. Ballico}, Linear Algebra Appl. 305, No. 1--3, 187--190 (2000; Zbl 0951.15012) Full Text: DOI
Ballico, E. Vector spaces of matrices of low rank and vector bundles on projective spaces: An addendum to a paper by Eisenbud and Harris. (English) Zbl 0828.14009 Beitr. Algebra Geom. 36, No. 1, 119-122 (1995). MSC: 14F05 15A03 14N05 15A99 PDFBibTeX XMLCite \textit{E. Ballico}, Beitr. Algebra Geom. 36, No. 1, 119--122 (1995; Zbl 0828.14009) Full Text: EuDML EMIS