English

The Resultant of an Unmixed Bivariate System

Algebraic Geometry 2007-05-23 v1 Commutative Algebra Combinatorics

Abstract

This paper gives an explicit method for computing the resultant of any sparse unmixed bivariate system with given support. We construct square matrices whose determinant is exactly the resultant. The matrices constructed are of hybrid Sylvester and B\'ezout type. We make use of the exterior algebra techniques of Eisenbud, Fl{\o}ystad, and Schreyer.

Keywords

Cite

@article{arxiv.math/0209115,
  title  = {The Resultant of an Unmixed Bivariate System},
  author = {Amit Khetan},
  journal= {arXiv preprint arXiv:math/0209115},
  year   = {2007}
}

Comments

18 pages, 2 figures