Projective varieties covered by isotrivial families
Algebraic Geometry
2013-01-25 v2 Dynamical Systems
Abstract
Let X,Y be projective schemes over a discrete valuation ring R, where Y is generically smooth and g:X \to Y a surjective R-morphism such that g_*\mathcal{O}_X = \mathcal{O}_Y. We show that if the family X \to Spec(R) is isotrivial, then the generic fiber of the family Y \to Spec(R) is isotrivial.
Keywords
Cite
@article{arxiv.1110.5661,
title = {Projective varieties covered by isotrivial families},
author = {Anupam Bhatnagar},
journal= {arXiv preprint arXiv:1110.5661},
year = {2013}
}
Comments
Final Version. To Appear in Proc. of Amer. Math. Soc