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

anagen

古代

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

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

Dorsal

混沌

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

,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

无辜

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

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.