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arXiv:1708.02797 [math.AG]AbstractReferencesReviewsResources

Cox ring of the generic fiber

Antonio Laface, Luca Ugaglia

Published 2017-08-09Version 1

Given a surjective morphism $\pi\colon X\to Y$ between normal varieties satisfying some regularity hypotheses we prove how to recover a Cox ring of the generic fiber $X_\eta$ of $\pi$ from the Cox ring of $X$. We also prove that in some particular cases it is possible to recover the Cox ring of a very general fiber of $\pi$.

Categories: math.AG
Subjects: 14C20, 14Q15, 14N25
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