Ulrich ideals and modules over two-dimensional rational singularities
Commutative Algebra
2013-07-09 v1 Algebraic Geometry
Representation Theory
Abstract
The main aim of this paper is to classify Ulrich ideals and Ulrich modules over two-dimensional Gorenstein rational singularities (rational double points) from a geometric point of view. To achieve this purpose, we introduce the notion of (weakly) special Cohen-Macaulay modules with respect to ideals, and study the relationship between those modules and Ulrich modules with respect to good ideals.
Cite
@article{arxiv.1307.2093,
title = {Ulrich ideals and modules over two-dimensional rational singularities},
author = {Shiro Goto and Kazuho Ozeki and Ryo Takahashi and Kei-ichi Watanabe and Ken-ichi Yoshida},
journal= {arXiv preprint arXiv:1307.2093},
year = {2013}
}
Comments
30 pages