Syzygies of the apolar ideals of the determinant and permanent

DOI10.1007/s10801-019-00880-zzbMath1472.14058arXiv1709.09286OpenAlexW2962843647WikidataQ127780534 ScholiaQ127780534MaRDI QIDQ2187740

Rowan Rowlands, Jarod Alper

Publication date: 3 June 2020

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.09286

zbMATH Keywords

syzygiesrepresentation theorydeterminantpermanentalgebraic complexityWaring rankapolarity

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Syzygies, resolutions, complexes and commutative rings (13D02) Computational difficulty of problems (lower bounds, completeness, difficulty of approximation, etc.) (68Q17) Computational homological algebra (13P20) Secant varieties, tensor rank, varieties of sums of powers (14N07)

Related Items (1)

A bound for the Waring rank of the determinant via syzygies

Uses Software

• OEIS

Cites Work

• The complexity of computing the permanent
• Generalizations of magic graphs
• Apolarity for determinants and permanents of generic matrices
• On the rank of a symmetric form
• The Permanent Function
• The Geometry of Syzygies
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