COMPARISON OF KUMMER LOGARITHMIC TOPOLOGIES WITH CLASSICAL TOPOLOGIES
| Autor: | Heer Zhao |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Pure mathematics
Multiplicative group Group (mathematics) Mathematics::Number Theory General Mathematics 010102 general mathematics Flat topology Base (topology) 01 natural sciences Cohomology 14F20 (primary) 14A21 (secondary) Mathematics - Algebraic Geometry Mathematics::Algebraic Geometry Mathematics::K-Theory and Homology Scheme (mathematics) Mathematik 0103 physical sciences FOS: Mathematics 010307 mathematical physics 0101 mathematics Abelian group Algebraic number Algebraic Geometry (math.AG) Mathematics |
| Zdroj: | Journal of the Institute of Mathematics of Jussieu. 22:1087-1117 |
| ISSN: | 1475-3030 1474-7480 |
| DOI: | 10.1017/s1474748021000359 |
| Popis: | 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. Comment: 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 |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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