A Clemens–Schmid type exact sequence over a local basis

Authors

  • Genaro Hernandez-Mada Departamento de Matem´aticas, Universidad de Sonora, Hermosillo, Mexico

DOI:

https://doi.org/10.33044/revuma.2163

Abstract

Let $k$ be a finite field of characteristic $p$ and let $X \rightarrow \operatorname{Spec} k[[t]]$ be a semistable family of varieties over $k$. We prove that there exists a Clemens–Schmid type exact sequence for this family. We do this by constructing a larger family defined over a smooth curve and using a Clemens–Schmid exact sequence in characteristic $p$ for this new family.

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Published

2022-06-28

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