The Monsky-Washnitzer cohomology and the de Rham cohomology

Details The Monsky-Washnitzer cohomology and the de Rham cohomology The Monsky-Washnitzer cohomology and the de Rham cohomology

2005-10-15

arxiv.org/abs/math/0510316v1

Mathematics

Algebraic Geometry

16 pages

Scientific paper

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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