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Published
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A Clemens–Schmid type exact sequence over a local basis
Volume 63, no. 1
(2022),
pp. 281–292
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 by the Unión Matemática Argentina |