The resultant as the determinant of a Koszul complex

DOI10.1007/s11232-009-0111-6zbMath1208.13013arXiv0812.5013OpenAlexW2062350766MaRDI QIDQ845120

A. S. Anokhina, Sh. R. Shakirov, A. Yu. Morozov

Publication date: 5 February 2010

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.5013

zbMATH Keywords

resultantsKoszul complexes

Mathematics Subject Classification ID

Syzygies, resolutions, complexes and commutative rings (13D02) Solving polynomial systems; resultants (13P15)

Related Items

Introduction to Khovanov homologies. I. Unreduced Jones superpolynomial, Colored HOMFLY and generalized Mandelbrot set, A combinatorial method for computing characteristic polynomials of starlike hypergraphs, Complanart of a system of polynomial equations, Koszul-Type Determinantal Formulas for Families of Mixed Multilinear Systems, New and old results in resultant theory

Cites Work

• Unnamed Item
• Resultants and contour integrals
• Analogue of the identity Log Det = Trace Log for resultants
• The resultant on compact Riemann surfaces
• Topological sigma models
• The irreducibility of the resultant and connected irreducibility theorems
• The astronomical work of Carl Friedrich Gauss (1777-1855)
• Can renormalization group flow end in a Big Mess?
• Non-perturbative results on the point particle limit of \(N=2\) heterotic string compactifications
• D-branes, categories and N=1 supersymmetry
• CONFORMAL BLOCKS AS DOTSENKO–FATEEV INTEGRAL DISCRIMINANTS
• Resultants and Chow forms via exterior syzygies
• Explicit formulas for the multivariate resultant.