Projective varieties covered by isotrivial families

Anupam Bhatnagar

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arXiv · 1110.5661

Projective varieties covered by isotrivial families

Anupam Bhatnagar

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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.

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Anupam Bhatnagar. 2013-01-24. Projective varieties covered by isotrivial families. https://arxiv.org/abs/1110.5661

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