2011arXiv (Cornell University)Open access

Clemens-Schmid exact sequence in characteristic p

Bruno Chiarellotto, Nobuo Tsuzuki

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Abstract

For a semistable family of varieties over a curve in characteristic $p$, we prove the existence of a "Clemens-Schmid type" long exact sequence for the $p$-adic cohomology. The cohomology groups appearing in such a long exact sequence are defined locally

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For a semistable family of varieties over a curve in characteristic $p$, we prove the existence of a "Clemens-Schmid type" long exact sequence for the $p$-adic cohomology. The cohomology groups appearing in such a long exact sequence are defined locally

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Available abstract

For a semistable family of varieties over a curve in characteristic $p$, we prove the existence of a "Clemens-Schmid type" long exact sequence for the $p$-adic cohomology. The cohomology groups appearing in such a long exact sequence are defined locally

Key concepts: Exact sequence, Sequence (biology), Cohomology, Mathematics, Type (biology), Pure mathematics, Biology, Genetics

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