3 problems

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The p-adic local invariant cycle conjecture
The p-adic local invariant cycle conjecture. If the residue field of $R$ is finite, there is a surjective natural map
Conjectureopenetale-cohomology local-invariant-cycles p-adic-hodge-theoryarXiv posted 2 days ago
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The $p$ -adic local invariant cycle theorem
Let $R$ be a complete discrete valuation ring with fraction field $K$ and finite residue field $k$ of characteristic $p$ , and let $X$ be a proper flat scheme over…
Conjectureopenlocal-invariant-cycles p-adic-hodge-theory rigid-cohomologyarXiv posted 2 days ago
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The local invariant cycle theorem for regular schemes
Let $R$ be a complete discrete valuation ring with fraction field $K$ and finite residue field $k$ of characteristic $p$ , and let $X$ be a proper flat scheme over…
Conjectureopenarithmetic-geometry etale-cohomology local-invariant-cyclesarXiv posted 2 days ago

The p-adic local invariant cycle conjecture