Families of Invariant Divisors on Rational Complexity-One T-Varieties

Details Families of Invariant Divisors on Rational Complexity-One T-Varieties Families of Invariant Divisors on Rational Complexity-One T-Varieties

2009-06-23

arxiv.org/abs/0906.4292v3

Mathematics

Algebraic Geometry

v3 Major Revision: 17 pages and 3 figures. This version contains a revised and improved version of the first half of the previ

Scientific paper

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.

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