Giorgio Ottaviani
- The Euclidean distance degree of an algebraic variety
2013/08/31 by Jan Draisma, Draisma, Jan, Emil Horobeţ +7 · 19 citations
Computer Science · Engineering · Mathematics · #13P25 #14M12 #14N10 #51N35 #90C26 #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #Commutative Algebra and Its Applications #FOS: Mathematics #Optimization and Control (math.OC) #Polynomial and algebraic computation
- Syzygies of Veronese Embeddings
2001/01/01 by Giorgio Ottaviani, Raffaella Paoletti · 10 citations
Mathematics · Biochemistry, Genetics and Molecular Biology · #Algebraic Geometry and Number Theory #Advanced Algebra and Geometry #Biological Activity of Diterpenoids and Biflavonoids
- New lower bounds for the border rank of matrix multiplication
2011/12/27 by J. M. Landsberg, Giorgio Ottaviani, Landsberg, J. M. +1 · 7 citations
Mathematics · Computer Science · #Tensor decomposition and applications #Coding theory and cryptography #Mathematical Approximation and Integration
- Equations for secant varieties of Veronese and other varieties
2011/11/19 by J. M. Landsberg, Landsberg, J. M., Giorgio Ottaviani +1 · 4 citations
Computer Science · Mathematics · #14J60 #14M12 #15A21 #15A69 #Advanced Optimization Algorithms Research #Algebraic Geometry (math.AG) #FOS: Mathematics #Polynomial and algebraic computation #Tensor decomposition and applications
- The number of singular vector tuples and uniqueness of best rank one\n approximation of tensors
2012/10/31 by Shmuel Friedland, Friedland, Shmuel, Giorgio Ottaviani +1 · 3 citations
Computer Science · Mathematics · #14D21 #15A18 #15A69 #65D15 #65H10 #65K05 #Algebraic Geometry (math.AG) #Algorithms and Data Compression #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Matrix Theory and Algorithms #Numerical Analysis (math.NA) #Tensor decomposition and applications
- On the Alexander-Hirschowitz Theorem
2007/01/15 by Maria Chiara Brambilla, Giorgio Ottaviani, Brambilla, Maria Chiara +1 · 2 citations
Mathematics · Computer Science · Engineering · #Tensor decomposition and applications #Polynomial and algebraic computation #Advanced Numerical Analysis Techniques
- Five Lectures on Projective Invariants
2013/05/13 by Giorgio Ottaviani, Ottaviani, Giorgio · 2 citations
Mathematics · #Advanced Topics in Algebra #Algebraic Geometry and Number Theory #Advanced Algebra and Geometry
- The geometry of rank decompositions of matrix multiplication I: 2x2\n matrices
2016/10/25 by Luca Chiantini, Chiantini, Luca, Christian Ikenmeyer +5 · 4 citations
Computer Science · Engineering · Mathematics · #14L30 #15A69 #68Q17 #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #Computational Complexity (cs.CC) #FOS: Computer and information sciences #FOS: Mathematics #Polynomial and algebraic computation #Tensor decomposition and applications
- Syzygies of Veronese embeddings
1998/11/23 by Giorgio Ottaviani, Raffaella Paoletti, Ottaviani, Giorgio +1 · 1 citation
Engineering · Mathematics · #14F17 #14M20 #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #FOS: Mathematics #Finite Group Theory Research #graph theory and CDMA systems #math.AG #msc:14F17 #msc:14M20
- On generic identifiability of 3-tensors of small rank
2011/03/14 by Luca Chiantini, Chiantini, Luca, Giorgio Ottaviani +1 · 1 citation
Computer Science · Mathematics · Medicine · #14N05 #15A21 #15A69 #Advanced Neuroimaging Techniques and Applications #Algebraic Geometry (math.AG) #Algorithms and Data Compression #FOS: Mathematics #Tensor decomposition and applications
- Introduction to the hyperdeterminant and to the rank of multidimensional matrices
2013/01/03 by Giorgio Ottaviani, Ottaviani, Giorgio · 1 citation
Engineering · #14L24 #14N05 #15A69 #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #FOS: Mathematics
- Vector bundles without intermediate cohomology and the trichotomy result
2024/02/11 by Giorgio Ottaviani, Ottaviani, Giorgio · 2 citations
Mathematics · Physics and Astronomy · #14-02 #14F08 #14F17 #14M15 #14M17 #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons
- Symplectic bundles on the plane, secant varieties and Lüroth quartics revisited
2007/02/06 by Giorgio Ottaviani, Ottaviani, Giorgio · 1 citation
Mathematics · Physics and Astronomy · #14F05 #14H50 #14J60 #14N15 #15A72 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Nonlinear Waves and Solitons