English

Syzygies of Unimodular Lawrence Ideals

Algebraic Geometry 2007-05-23 v1 Combinatorics

Abstract

Infinite hyperplane arrangements whose vertices form a lattice are studied from the point of view of commutative algebra. The quotient of such an arrangement modulo the lattice action represents the minimal free resolution of the associated binomial ideal, which defines a toric subvariety in a product of projective lines. Connections to graphic arrangements and to Beilinson's spectral sequence are explored.

Keywords

Cite

@article{arxiv.math/9912247,
  title  = {Syzygies of Unimodular Lawrence Ideals},
  author = {Dave Bayer and Sorin Popescu and Bernd Sturmfels},
  journal= {arXiv preprint arXiv:math/9912247},
  year   = {2007}
}

Comments

19 pages, plain TeX, uses epsf.tex