Cohomology of ideals in elliptic surface singularities
Algebraic Geometry
2025-12-16 v2
Abstract
We introduce the the normal reduction number of two-dimensional normal singularities and prove that elliptic singularity has normal reduction number two. We also prove that for a two-dimensional normal singularity which is not rational, it is Gorenstein and its maximal ideal is a -ideal if and only if it is a maximally elliptic singularity of degree .
Keywords
Cite
@article{arxiv.1804.07558,
title = {Cohomology of ideals in elliptic surface singularities},
author = {Tomohiro Okuma},
journal= {arXiv preprint arXiv:1804.07558},
year = {2025}
}
Comments
15 pages; various corrections and improvements. To appear in Illinois J. Math