A bound for the Waring rank of the determinant via syzygies

Author:

Boij MatsORCID,Teitler ZachORCID

Funder

Swedish Research Council

Simons Foundation

MNiSW

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference50 articles.

1. Polynomial interpolation in several variables;Alexander;J. Algebraic Geom.,1995

2. Syzygies of the apolar ideals of the determinant and permanent;Alper;J. Algebraic Combin.,2019

3. A comparison of different notions of ranks of symmetric tensors;Bernardi;Linear Algebra Appl.,2014

4. The hitchhiker guide to: secant varieties and tensor decomposition;Bernardi;Mathematics,2018

5. On polynomials with given Hilbert function and applications;Bernardi;Collect. Math.,2018

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. New lower bounds for matrix multiplication and;Forum of Mathematics, Pi;2023

2. An improved upper bound for the Waring rank of the determinant;Journal of Commutative Algebra;2022-11-01

3. The Waring Rank of the 3 x 3 Permanent;SIAM Journal on Applied Algebra and Geometry;2021-01

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