钢笔记下惩罚 发表于 2025-3-25 05:27:18

Lubin-Tate Theory,ith prime elements in a .-adic field, they construct maximal abelian totally ramified extensions by means of torsion points on formal groups, thus obtaining a merging of class field theory and Kummer theory by means of these groups.

商业上 发表于 2025-3-25 09:02:13

Explicit Reciprocity Laws,otomic fields. These were extended by Coates—Wiles and Wiles to arbitrary Lubin—Tate groups. Although Wiles follows Iwasawa to a large extent, it turns out his proofs are simpler because of the formalism of the Lubin—Tate formal groups. We essentially reproduce his paper in the present chapter.

arrogant 发表于 2025-3-25 13:29:15

http://reply.papertrans.cn/25/2426/242572/242572_23.png

HEPA-filter 发表于 2025-3-25 16:56:30

-adic Preliminaries, Artin-Hasse power series, and the Dwork power series closely related to it. The latter allows us to obtain an analytic representation of .-th roots of unity, which reappear later in the context of gauss sums, occurring as eigenvalues of .-adic completely continuous operators. Cf. Dwork’s papers in the bibliography.

预感 发表于 2025-3-25 21:45:55

http://reply.papertrans.cn/25/2426/242572/242572_25.png

nurture 发表于 2025-3-26 00:35:03

http://reply.papertrans.cn/25/2426/242572/242572_26.png

共和国 发表于 2025-3-26 04:22:10

Acoustic Communication Under the Sea), of higher .-groups (Coates—Sinnott , , ) has led to purely algebraic theorems concerned with group rings and certain ideals, formed with Bernoulli numbers (somewhat generalized, as by Leopoldt). Such ideals happen to annihilate these groups, but in many cases it is still conjectu

Onerous 发表于 2025-3-26 11:05:08

http://reply.papertrans.cn/25/2426/242572/242572_28.png

连累 发表于 2025-3-26 15:22:36

http://reply.papertrans.cn/25/2426/242572/242572_29.png

LAPSE 发表于 2025-3-26 20:31:53

http://reply.papertrans.cn/25/2426/242572/242572_30.png
页: 1 2 [3] 4 5 6 7
查看完整版本: Titlebook: Cyclotomic Fields I and II; Serge Lang Textbook 1990Latest edition Springer Science+Business Media New York 1990 Cohomology.Prime.algebra.