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The Monsky-Washnitzer cohomology and the de Rham cohomology

BinYong Hsie
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Abstract

The author constructs a theory of dagger formal schemes over $R$ and then defines the de Rham cohomology for flat dagger formal schemes $X$ with integral and regular reductions $\bar{X}$ which generalizes the Monsky-Washnitzer cohomology. Finally the author gets Lefschetz' fixed pointed formula for $X$ with certain conditions.

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BinYong Hsie. 2005-10-15. The Monsky-Washnitzer cohomology and the de Rham cohomology. https://arxiv.org/abs/math/0510316

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