The Monomial Conjecture and Order Ideals
Commutative Algebra
2013-05-07 v1 Algebraic Geometry
Abstract
In this article first we prove that a special case of the order ideal conjecture, originating from the work of Evans and Griffith in equicharacteristic, implies the monomial conjecture due to M. Hochster. We derive a necessary and sufficient condition for the validity of this special case in terms certain syzygis of canonical modules of normal domains possessing free summands. We also prove some special cases of this observation.
Keywords
Cite
@article{arxiv.1305.0840,
title = {The Monomial Conjecture and Order Ideals},
author = {S. P. Dutta},
journal= {arXiv preprint arXiv:1305.0840},
year = {2013}
}