Castelnuovo-Mumford regularity bounds for singular surfaces
Algebraic Geometry
2015-08-11 v2 Commutative Algebra
Abstract
We prove the regularity conjecture, namely Eisenbud-Goto conjecture, for a normal surface with rational, Gorenstein elliptic and log canonical singularities. Along the way, we bound the regularity for a dimension zero scheme by its Loewy length and for a curve allowing embedded or isolated point components by its arithmetic degree.
Cite
@article{arxiv.1306.6535,
title = {Castelnuovo-Mumford regularity bounds for singular surfaces},
author = {Wenbo Niu},
journal= {arXiv preprint arXiv:1306.6535},
year = {2015}
}
Comments
11 pages, title changed; Mathematische Zeitschrift, 2015