Demi-Normal Surface Singularities
Algebraic Geometry
2016-06-15 v1
Abstract
We prove semi-rationalification and semi-log-canonicalization for Gorenstein demi-normal surfaces. That is, given a Gorenstein demi-normal surface X with semi-rational (respectively, semi-log canonical) singularities in an open set U with complement a finite set of points, there is a proper birational morphism f : Y --> X such that f is an isomorphism over U and Y has only semi-rational (respectively, semi-log canonical) singularities. We proceed by passing to the normalization and then gluing along the conductor in an appropriate rationalification or log-canonicalization of the normalization of X.
Cite
@article{arxiv.1606.04169,
title = {Demi-Normal Surface Singularities},
author = {Jeremy Berquist},
journal= {arXiv preprint arXiv:1606.04169},
year = {2016}
}