Families of Invariant Divisors on Rational Complexity-One T-Varieties
Algebraic Geometry
2015-08-26 v4
Abstract
We study invariant divisors on the total spaces of the homogeneous deformations of rational complexity-one T-varieties constructed by Ilten and Vollmert. In particular, we identify a natural subgroup of the Picard group for any general fiber of such a deformation, which is canonically isomorphic to the Picard group of the special fiber. This isomorphism preserves Euler characteristic, intersection numbers, and the canonical class.
Keywords
Cite
@article{arxiv.0906.4292,
title = {Families of Invariant Divisors on Rational Complexity-One T-Varieties},
author = {Andreas Hochenegger and Nathan Owen Ilten},
journal= {arXiv preprint arXiv:0906.4292},
year = {2015}
}
Comments
v4 minor changes: 17 pages and 3 figures