Comparison of Kummer logarithmic topologies with classical topologies
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.
Cite
@article{arxiv.1909.01042,
title = {Comparison of Kummer logarithmic topologies with classical topologies},
author = {Heer Zhao},
journal= {arXiv preprint arXiv:1909.01042},
year = {2021}
}
Comments
Introduction has been rewritten. Theorem 1.8 has been slightly modified. The original Lemma 1.15 has been removed. The original Theorem 1.16 has been changed to Corollary 1.10. The original Theorem 1.24 (now Theorem 1.23) has been slightly modified. Errors and typos have been corrected. 30 pages. Accepted by J. Inst. Math. Jussieu. Might be slightly different from the journal version