منابع مشابه
Galois stratification and ACFA
We prove a direct image theorem stating that the direct image of a Galois formula by a morphism of difference schemes is equivalent to a Galois formula modulo the theory ACFA of existentially closed difference fields. As a consequence, we obtain an effective quantifier elimination procedure and a precise algebraic-geometric description of definable sets over existentially closed difference fiel...
متن کاملGALOIS STRATIFICATION OVER e-FOLD ORDERED FROBENIUS FIELDS
I n t r o d u c t i o n A field M is said to be p s e u d o a l g e b r a i c a l l y c l o s e d (PAC) if every absolutely irreducible variety over M has an M-ra t iona l point. A F r o b e n i u s field is a PAC field with the embedding property. Developing the method of Galois stratif ication introduced in [FS], M. Fried, M. Jarden, and the first author established a decision procedure for F...
متن کاملGalois Representations, Hecke Operators, and the mod-p Cohomology of GL(3, Z) with Twisted Coefficients
1991 Mathematics Subject Classi cation. Primary: 11F75. Secondary: 11F67, 12F12.
متن کاملGalois Representations, Hecke Operators, and the mod-p Cohomology of GL(3, ZZ) with Twisted Coefficients
1991 Mathematics Subject Classi cation. Primary: 11F75. Secondary: 11F67, 12F12.
متن کاملGalois Module Structure of Galois Cohomology
Let F be a field containing a primitive pth root of unity, and let U be an open normal subgroup of index p of the absolute Galois group GF of F . We determine the structure of the cohomology group H(U, Fp) as an Fp[GF /U ]-module for all n ∈ N. Previously this structure was known only for n = 1, and until recently the structure even of H(U, Fp) was determined only for F a local field, a case se...
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ژورنال
عنوان ژورنال: Nagoya Mathematical Journal
سال: 2016
ISSN: 0027-7630,2152-6842
DOI: 10.1017/nmj.2016.9