Deformations of Rational T-Varieties
Algebraic Geometry
2012-11-20 v3
Abstract
We show how to construct certain homogeneous deformations for rational normal varieties with codimension one torus action. This can then be used to construct homogeneous deformations of any toric variety in arbitrary degree. For locally trivial deformations coming from this construction, we calculate the image of the Kodaira-Spencer map. We then show that for a smooth complete toric variety, our homogeneous deformations span the space of first-order deformations.
Cite
@article{arxiv.0903.1393,
title = {Deformations of Rational T-Varieties},
author = {Nathan Owen Ilten and Robert Vollmert},
journal= {arXiv preprint arXiv:0903.1393},
year = {2012}
}
Comments
22 pages, 9 figures; v2 minor changes to introduction; v3 some corrections, to appear in Journal of Algebraic Geometry