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arXiv · 1909.01042

Comparison of Kummer logarithmic topologies with classical topologies

Heer Zhao
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Abstract

We compare the Kummer flat (resp. Kummer etale) cohomology with the flat (resp. etale) cohomology with coefficients in smooth commutative group schemes, finite flat group schemes and the logarithmic multiplicative group of Kato. We will be particularly interested in the case of algebraic tori in the Kummer flat topology. We also make some computations for certain special cases of the base log scheme.

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Heer Zhao. 2019-09-03. Comparison of Kummer logarithmic topologies with classical topologies. https://doi.org/10.1017/s1474748021000359

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