scientific article; zbMATH DE number 7689792

DOI10.13137/2464-8728/34006arXiv2208.00857MaRDI QIDQ6041403

Publication date: 26 May 2023

Full work available at URL: https://arxiv.org/abs/2208.00857

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

deformation theory Segre variety tensor rank secant variety quot scheme border rank matrix multiplication complexity spaces of bounded rank spaces of commuting matrices

Mathematics Subject Classification ID

Classical groups (algebro-geometric aspects) (14L35) Multilinear algebra, tensor calculus (15A69) Complexity classes (hierarchies, relations among complexity classes, etc.) (68Q15)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Equations for secant varieties of Veronese and other varieties
Irreducibility of the Gorenstein loci of Hilbert schemes via ray families
Matrix multiplication via arithmetic progressions
Hilbert schemes of 8 points
Rank and optimal computation of generic tensors
Construction of instantons
Relations between exact and approximate bilinear algorithms. Applications
Moduli of vector bundles on the projective plane
On the ideals of secant varieties of Segre varieties
On the cactus rank of cubic forms
On tensors of border rank $l$ in ${\mathbb C}^{m\times n\times l}$
Apolarity, border rank, and multigraded Hilbert scheme
Rank and border rank of Kronecker powers of tensors and Strassen's laser method
Abelian tensors
On dominance and varieties of commuting matrices
Gaussian elimination is not optimal
Algebraic geometry and representation theory in the study of matrix multiplication complexity and other problems in theoretical computer science
Fast Matrix Multiplication
New lower bounds for the border rank of matrix multiplication
Deformation Theory
Relative bilinear complexity and matrix multiplication.
Partial and Total Matrix Multiplication
On the Asymptotic Complexity of Matrix Multiplication
On degeneration of tensors and algebras
A $2{\mathbf{n}}^2-{\text{log}}_2({\mathbf{n}})-1$ lower bound for the border rank of matrix multiplication
Multigraded Hilbert schemes
Barriers for Rank Methods in Arithmetic Complexity
On the Geometry of Border Rank Decompositions for Matrix Multiplication and Other Tensors with Symmetry
Geometry and Complexity Theory
Secant varieties to high degree Veronese reembeddings, catalecticant matrices and smoothable Gorenstein schemes
Generalizations of Strassen's Equations for Secant Varieties of Segre Varieties

This page was built for publication: