Overconvergent de Rham-Witt cohomology for semistable varieties

24 Jun 2020  ·  Gregory Oliver, Langer Andreas ·

We define an overconvergent version of the Hyodo-Kato complex for semistable varieties $Y$ over perfect fields of positive characteristic, and prove that its hypercohomology tensored with $\mathbb{Q}$ recovers the log-rigid cohomology when $Y$ is quasi-projective. We then describe the monodromy operator using the overconvergent Hyodo-Kato complex... Finally, we show that overconvergent Hyodo-Kato cohomology agrees with log-crystalline cohomology in the projective semistable case. read more

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Algebraic Geometry Number Theory