anagen 发表于 2025-3-23 12:00:18

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古代 发表于 2025-3-23 17:39:08

Mahdieh Houshani,Seyed Yahya Salehi-LisarIf . is a smooth, projective variety over a number field ., then the absolute Galois group G. = Gal(./.) acts on the étale cohomology groups H.(., ℚ./ℤ.(.)), where . = X X.. for an algebraic closure . of .. In this paper I study some properties of these G.-modules; in particular, I am interested in the corank of the Galois cohomology groups

MARS 发表于 2025-3-23 20:09:19

Jessie L. Beier,jan jagodzinskiGiven a continuous homomorphism.where G. is the Galois group of the maximal algebraic extension of ℚ unramified outside the finite set . of primes of ℚ, the motivating problem of this paper is to study, in a systematic way, the possible liftings of ρ̄ to .-adic representations,..

继而发生 发表于 2025-3-23 23:14:19

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Dorsal 发表于 2025-3-24 04:12:33

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混沌 发表于 2025-3-24 07:00:31

Le Groupe Fondamental de la Droite Projective Moins Trois Points,Le présent article doit beaucoup à A. Grothendieck. Il a inventé la philosophie des motifs, qui est notre fil directeur. Il y a quelques cinq ans, il m’a aussi dit, avec force, que le complété profini . du groupe fondamental de X := P.(C) — {0,1, oo} , avec son action de Gal(./ℚ) est un oject remarquable, et qu’il faudrait l’étudier.

Kernel 发表于 2025-3-24 12:52:35

,The Galois representation arising from P1 − {0,1, ∞} and Tate twists of even degree,The canonical representation.of the absolute Galois group over the rationals in the outer automorphism group of the pro-ℓ fundamental group.(ℓ: a prime number) gives rise to an infinite sequence of solvable Galois extensions. over ℚ, unramified outside ℓ, satisfying the following properties [.].

转换 发表于 2025-3-24 16:11:35

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无辜 发表于 2025-3-24 19:16:17

Deforming Galois Representations,Given a continuous homomorphism.where G. is the Galois group of the maximal algebraic extension of ℚ unramified outside the finite set . of primes of ℚ, the motivating problem of this paper is to study, in a systematic way, the possible liftings of ρ̄ to .-adic representations,..

小故事 发表于 2025-3-25 03:13:37

Eberhard Neumann,David Nachmansohngether with the corresponding examples are contained in the forthcoming lecture notes [.] (see also [.]). The rationality criteria in sections 4 and 5, the braid orbit theorem, and the twisted braid orbit theorem, are new. With the last one, the Mathieu group M. is realized as Galois group over ℚ.
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查看完整版本: Titlebook: Galois Groups over ?; Proceedings of a Wor Y. Ihara,K. Ribet,J.-P. Serre Conference proceedings 1989 Springer-Verlag New York Inc. 1989 Abe