Semi-stable extensions over 1-dimensional bases
Algebraic Geometry
2015-10-09 v1
Abstract
Given a family of Calabi-Yau varieties over the punctured disc or over the field of Laurent series, we show that, after a finite base change, the family can be exended across the origin while keeping the canonical class trivial. More generally, we prove similar extension results for families whose log-canonical class is semi-ample. We use these to show that the Berkovich and essential skeleta agree for smooth varieties over with semi-ample canonical class.
Cite
@article{arxiv.1510.02446,
title = {Semi-stable extensions over 1-dimensional bases},
author = {János Kollár and Johannes Nicaise and Chenyang Xu},
journal= {arXiv preprint arXiv:1510.02446},
year = {2015}
}