G. Ottaviani

Most-cited papers

The Euclidean Distance Degree of an Algebraic Variety
J. Draisma, Emil Horobet, G. Ottaviani, B. Sturmfels +1 more
2013Foundations of Computational Mathematics279 citations Open access
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Induction for secant varieties of Segre varieties
Hirotachi Abo, G. Ottaviani, C. Peterson
2006174 citations Open access
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On Generic Identifiability of 3-Tensors of Small Rank
L. Chiantini, G. Ottaviani
2011SIAM Journal on Matrix Analysis and Applications173 citations Open access
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On the Alexander–Hirschowitz theorem
M. Brambilla, G. Ottaviani
2007170 citations Open access
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Equations for secant varieties of Veronese and other varieties
J. Landsberg, G. Ottaviani
2011161 citations Open access
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Eigenvectors of tensors and algorithms for Waring decomposition
L. Oeding, G. Ottaviani
2011Journal of symbolic computation131 citations Open access
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An Algorithm For Generic and Low-Rank Specific Identifiability of Complex Tensors
L. Chiantini, G. Ottaviani, N. Vannieuwenhoven
2014SIAM Journal on Matrix Analysis and Applications124 citations Open access
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On generic identifiability of symmetric tensors of subgeneric rank
L. Chiantini, G. Ottaviani, N. Vannieuwenhoven
201599 citations Open access
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New Lower Bounds for the Border Rank of Matrix Multiplication
J. M. Landsberg, G. Ottaviani
2011Theory of Computing99 citations Open access
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The Number of Singular Vector Tuples and Uniqueness of Best Rank-One Approximation of Tensors
S. Friedland, G. Ottaviani
2012Foundations of Computational Mathematics89 citations Open access
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Laplace Equations and the Weak Lefschetz Property
Emilia Mezzettiaaa, Rosa M. Miré-Roig, G. Ottaviani
2011Canadian Journal of Mathematics - Journal Canadien de Mathematiques88 citations Open access
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On the typical rank of real binary forms
P. Comon, G. Ottaviani
200984 citations Open access
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Syzygies of Veronese Embeddings
G. Ottaviani, R. Paoletti
1998Compositio Mathematica77 citations Open access
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Refined methods for the identifiability of tensors
C. Bocci, L. Chiantini, G. Ottaviani
2013Annali di Matematica Pura ed Applicata69 citations Open access
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Effective Criteria for Specific Identifiability of Tensors and Forms
L. Chiantini, G. Ottaviani, N. Vannieuwenhoven
2016SIAM Journal on Matrix Analysis and Applications63 citations Open access
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Exact Solutions in Structured Low-Rank Approximation
G. Ottaviani, P. Spaenlehauer, B. Sturmfels
2013SIAM Journal on Matrix Analysis and Applications57 citations Open access
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Homotopy techniques for tensor decomposition and perfect identifiability
J. Hauenstein, L. Oeding, G. Ottaviani, A. Sommese
2014Journal für die Reine und Angewandte Mathematik54 citations Open access
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An Invariant Regarding Waring’s Problem for Cubic Polynomials
G. Ottaviani
2007Nagoya mathematical journal51 citations Open access
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On the Waring problem for polynomial rings
R. Fröberg, G. Ottaviani, B. Shapiro
2011Proceedings of the National Academy of Sciences of the United States of America47 citations Open access
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Non-defectivity of Grassmannians of planes
Hirotachi Abo, G. Ottaviani, C. Peterson
200947 citations Open access
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Symplectic bundles on the plane, secant varieties and L\"uroth quartics revisited
G. Ottaviani
200745 citations
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Nondegenerate multidimensional matrices and instanton bundles
L. Costa, G. Ottaviani
200143 citations Open access
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Polynomials and the exponent of matrix multiplication
L. Chiantini, J. Hauenstein, Christian Ikenmeyer, J. M. Landsberg +1 more
201740 citations Open access
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Unstable hyperplanes for Steiner bundles and multidimensional matrices
V. Ancona, G. Ottaviani
199940 citations
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On real typical ranks
A. Bernardi, G. Blekherman, G. Ottaviani
201539 citations Open access
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Quivers and the cohomology of homogeneous vector bundles
G. Ottaviani, Elena Rubei
200438 citations Open access
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Introduction to the Hyperdeterminant and to the Rank of Multidimensional Matrices
G. Ottaviani
201333 citations Open access
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A geometric perspective on the Singular Value Decomposition
G. Ottaviani, R. Paoletti
201532 citations
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The euclidean distance degree of orthogonally invariant matrix varieties
D. Drusvyatskiy, Hon-Leung Lee, G. Ottaviani, Rekha R. Thomas
2016Israel Journal of Mathematics29 citations Open access
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Best rank-k approximations for tensors: generalizing Eckart–Young
J. Draisma, G. Ottaviani, A. Tocino
201728 citations Open access
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The Geometry of Rank Decompositions of Matrix Multiplication I: 2 × 2 Matrices
L. Chiantini, Christian Ikenmeyer, J. Landsberg, G. Ottaviani
2016Experimental Mathematics28 citations Open access
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Equations for secant varieties to Veronese varieties
J. M. Landsberg, G. Ottaviani
201026 citations
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Fine-structure classification of multiqubit entanglement by algebraic geometry
M. Gharahi, S. Mancini, G. Ottaviani
2019Physical Review Research25 citations Open access
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On the number of Waring decompositions for a generic polynomial vector
Elena Angelini, F. Galuppi, M. Mella, G. Ottaviani
201625 citations Open access
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On the hypersurface of Luroth quartics
G. Ottaviani, E. Sernesi
200925 citations Open access
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The Chow form of the essential variety in computer vision
Gunnar Fløystad, Joe Kileel, G. Ottaviani
2016Journal of symbolic computation23 citations Open access
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Equations for secant varieties of Veronese and other varieties
J. Landsberg, G. Ottaviani
2011Annali di Matematica Pura ed Applicata23 citations Open access
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RATIONAL HOMOGENEOUS VARIETIES
G. Ottaviani
201322 citations
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Matrices with eigenvectors in a given subspace
G. Ottaviani, B. Sturmfels
201022 citations Open access
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The euclidean distance degree
J. Draisma, Emil Horobet, G. Ottaviani, B. Sturmfels +1 more
2014Symbolic-Numeric Computation21 citations
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Abstract 3929: Identification of MRT-2359 a potent, selective and orally bioavailable GSPT1-directed molecular glue degrader (MGD) for the treatment of cancers with Myc-induced translational addiction
G. Gavory, Mahmoud Ghandi, Anne-Cécile D’Alessandro, D. Bonenfant +24 more
2022Cancer Research18 citations
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The distance function from a real algebraic variety
G. Ottaviani, Luca Sodomaco
2018Computer Aided Geometric Design17 citations Open access
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Regularity of the moduli space of instanton bundles MIP3(5)
P. Katsylo, G. Ottaviani
200317 citations
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On moduli of instanton bundles on ℙ2n+1
V. Ancona, G. Ottaviani
199517 citations Open access
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One example of general unidentifiable tensors
L. Chiantini, M. Mella, G. Ottaviani
201314 citations Open access
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The Hessian Map
C. Ciliberto, G. Ottaviani
2020International mathematics research notices13 citations Open access
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Five Lectures on Projective Invariants
G. Ottaviani
201313 citations
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The Binet–Cauchy theorem for the hyperdeterminant of boundary format multi-dimensional matrices☆
Multidimensional Matrices, C. Dionisi, G. Ottaviani
200113 citations Open access
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The Horrocks bundles of rank three on P5.
V. Ancona, G. Ottaviani
199513 citations
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Asymptotics of degrees and ED degrees of Segre products
G. Ottaviani, Luca Sodomaco, Emanuele Ventura
2020Advances in Applied Mathematics11 citations Open access
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