The first part provides algebraic background: cohomology of profinite groups, duality groups, free products, and homotopy theory of modules, with new sections on spectral sequences and on Tate cohomology of profinite groups. The second part deals with Galois groups of local and global fields: ...
Cohomology of Number Fields 作者: Jürgen Neukirch / Kay Wingberg / Alexander Schmidt 出版社: Springer 出版年: 2013-11-25 页数: 825 定价: USD 138.14 装帧: Hardcover 丛书: Grundlehren der mathematischen Wissenschaften ISBN: 9783540378884 豆瓣评分 评价人数不足 评价: 写笔记 写书评 加入购书单 ...
Weil, A.: Numbers of solutions of equations in finite fields. Bull. Am. Math. Soc. 55, 497–508 (1949) Article MathSciNet Google Scholar Williams, D.P.: Crossed Products of C∗-Algebras, Mathematical Surveys and Monographs, vol. 134. American Mathematical Society, Providence (2007) Go...
number of logarithmic forms A.1 Tree-level two-site example A.2 Tree-level three-site example B Explicit presentation of the three-site/five-point differential equation 1 3 5 7 9 11 15 20 22 24 25 27 33 35 36 36 36 1 Introduction Over the past decade, an increasing number of ...
A stochastic approach to the Euler–Poincaré number of the loop space of developable orbifold J. Geom. Phys., 16 (1995), pp. 71-98 View PDFView articleView in ScopusGoogle Scholar 35 R. Léandre, Analysis over loop spaces and topology, preprint, Nancy Universit...
space; the usual fermionic number anomaly argument shows that in the generic situation only isolated maps are to be counted. The instanton sum goes over all possible homological types of these maps. Every summand of a given homological type has an exponential ...
More specifically, they proved thatTC(π)≤cd〈Δπ〉(π×π), where cd〈Δπ〉(π×π) denotes the cohomological dimension of π×π with respect to the family of subgroups of π×π“generated by” the diagonal subgroup Δπ. This number can be seen as the smallest possible dimension...
authoritative, complete, careful, and sure to be a reliable reference for many years." (Fernando Q. Gouv锚a, MathDL, May, 2008)\n"The second edition will continue to serve as a very helpful and up-to-date reference in cohomology of profinite groups and algebraic number theory, and all...
B. MORIN, On the Weil-etale cohomology of number fields, Trans. Amer. Math. Soc. 363 (2011), no. 9, 4877-4927. MR 2806695. DOI 10.1090/S0002-9947-2011-05124-X. (1267, 1292, 1317)On the Weil-´etale cohomology of number fields, Trans. Amer. Math. Soc. 363 (2011), 4877-...
We compute the p-torsion and p-adic étale cohomologies with compact support of period domains over local fields in the case of basic isocrystals for quasi-split reductive groups. As in the cases of ℓ-torsion or ℓ-adic coefficients, ℓ≠p, considered by Orlik, the results involve ge...