p7math.AG

math.AG

33 papers

New lower bounds for the rank of matrix multiplication

J. M. Landsberg

1206.1530

Operator scaling: theory and applications

Ankit Garg, Leonid Gurvits, Rafael Oliveira, Avi Wigderson

1511.03730

The minimal exponent and $k$-rationality for local complete intersections

Qianyu Chen, Bradley Dirks, Mircea Mustaţă

2212.01898

Tropical Geometry of Deep Neural Networks

Liwen Zhang, Gregory Naitzat, Lek-Heng Lim

1805.07091

A small frame and a certificate of its injectivity

Cynthia Vinzant

1502.04656

Explicit Noether Normalization for Simultaneous Conjugation via Polynomial Identity Testing

Michael A. Forbes, Amir Shpilka

1303.0084

Littlewood-Richardson polynomials

A. I. Molev

0704.0065

An algebraic characterization of injectivity in phase retrieval

Aldo Conca, Dan Edidin, Milena Hering, Cynthia Vinzant

1312.0158

Weighted Hodge ideals of reduced divisors

Sebastian Olano

2208.03271

Higher Du Bois and higher rational singularities

Robert Friedman, Radu Laza

2205.04729

Geometric Complexity Theory V: Efficient algorithms for Noether Normalization

Ketan D. Mulmuley

1209.5993

The higher Du Bois and higher rational properties for isolated singularities

Robert Friedman, Radu Laza

2207.07566

V-filtrations and minimal exponents for locally complete intersection singularities

Qianyu Chen, Bradley Dirks, Mircea Mustaţă, Sebastián Olano

2208.03277

On k-rational and k-Du Bois local complete intersections

Mircea Mustata, Mihnea Popa

2207.08743

On the Expressive Power of Deep Polynomial Neural Networks

Joe Kileel, Matthew Trager, Joan Bruna

1905.12207

Hodge filtration, minimal exponent, and local vanishing

Mircea Mustata, Mihnea Popa

1901.05780

Hodge ideals for Q-divisors: birational approach

Mircea Mustata, Mihnea Popa

1807.01932

Extending holomorphic forms from the regular locus of a complex space to a resolution of singularities

Stefan Kebekus, Christian Schnell

1811.03644

The Du Bois complex of a hypersurface and the minimal exponent

Mircea Mustata, Sebastian Olano, Mihnea Popa, Jakub Witaszek

2105.01245

Minimal exponents of hyperplane sections: a conjecture of Teissier

Bradley Dirks, Mircea Mustata

2008.10345

Equations for secant varieties of Veronese and other varieties

J. M. Landsberg, Giorgio Ottaviani

1111.4567

Hodge ideals for Q-divisors, V-filtration, and minimal exponent

Mircea Mustata, Mihnea Popa

1807.01935

Inequalities for Moment Cones of Finite-Dimensional Representations

Michèle Vergne, Michael Walter

1410.8144

An overview of Morihiko Saito's theory of mixed Hodge modules

Christian Schnell

1405.3096

Algebraic integrability of foliations with numerically trivial canonical bundle

Andreas Höring, Thomas Peternell

1710.06183

Gauge Theory and Langlands Duality

Edward Frenkel

0906.2747

Symmetric tensors and symmetric tensor rank

Pierre Comon, Gene Golub, Lek-Heng Lim, Bernard Mourrain

0802.1681

A generalization of the Clifford index and determinantal equations for curves and their secant varieties

Adam Ginensky

1002.2023

Thom-Sebastiani theorems for filtered D-modules and for multiplier ideals

Laurentiu Maxim, Morihiko Saito, Joerg Schuermann

1610.07295

Generic vanishing theory via mixed Hodge modules

Mihnea Popa, Christian Schnell

1112.3058

Homotopy theory of higher categories

Carlos T. Simpson

1001.4071

On secant varieties of Compact Hermitian Symmetric Spaces

J. M. Landsberg, Jerzy Weyman

0802.3402

Hodge ideals

Mircea Mustata, Mihnea Popa

1605.08088