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arXiv · 1711.09943

Overconvergent de Rham-Witt cohomology for semistable varieties

Oliver Gregory·Andreas Langer
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Abstract

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.

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Oliver Gregory, Andreas Langer. 2017-11-27. Overconvergent de Rham-Witt cohomology for semistable varieties. https://arxiv.org/abs/1711.09943

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