Results 31 to 40 of about 50,694 (192)
Two Theorems on Galois Cohomology [PDF]
Proceedings of the American Mathematical Society, 1966 \(K\) sei eine endliche Zahlkörpererweiterung von \(k\) mit Galoisgruppe \(G\) und \(O_K\) der Ring der ganzen Zahlen, aufgefaßt als \(Z[G]\)-Modul. In Verallgemeinerung eines Satzes von \textit{H. Yokoi} [Proc. Japan Acad. 38, 499--501 (1962; Zbl 0122.04303)] werden die folgenden Sätze bewiesen: Theorem 1.
openaire +1 more source
Communications in Advanced Mathematical Sciences, 2019 The theory of $p$-ramification, regarding the Galois group of the maximal pro-$p$-extension of a number field $K$, unramified outside $p$ and $\infty$, is well known including numerical experiments with PARI/GP programs.
Georges Gras
doaj +1 more source
, 2019 Given a Galois cover of curves over F_p , we relate the p-adic valuation of epsilon constants appearing in functional equations of ArtinL-functions to an equivariant Euler characteristic.
Köck, Bernhard +3 more
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Abelian number fields with frobenian conditions
Mathematika, Volume 72, Issue 4, October 2026.Abstract We study the distribution of abelian number fields with frobenian conditions imposed on the conductor. In particular, we find an asymptotic for the number of abelian field extensions of a number field k$k$ whose conductor is the sum of two squares. We also discuss an application of the Brauer group of stacks to quadratic number fields.
Julie Tavernier
wiley +1 more source
Cohomology of D-complex manifolds [PDF]
, 2012 In order to look for a well-behaved counterpart to Dolbeault cohomology in D-complex geometry, we study the de Rham cohomology of an almost D-complex manifold and its subgroups made up of the classes admitting invariant, respectively anti-invariant ...
Daniele Angella +4 more
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Koszul algebras and quadratic duals in Galois cohomology
, 2021 We investigate the Galois cohomology of finitely generated maximal pro-p quotients of absolute Galois groups. Assuming the well-known conjectural description of these groups, we show that Galois cohomology has the PBW property.
Minac, J +7 more
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Modular analogs of character formulas and minimal lifts of modular forms
Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.Abstract If f$f$ is a mod‐3 eigenform of weight 2 and level Γ0(ℓ2)$\Gamma _0(\ell ^2)$ for a prime ℓ$\ell$ such that ℓ≡−1(mod3)$\ell \equiv -1 \pmod {3}$, and ℓ$\ell$ is a vexing prime for f$f$, we show that there is no obstruction to finding a minimal lift of f$f$, but that there is an obstruction to finding a nonminimal lift.
Patrick B. Allen, Preston Wake
wiley +1 more source
Quadratic differentials and equivariant deformation theory of curves [PDF]
, 2012 Given a finite p-group G acting on a smooth projective curve X over an algebraically closed field k of characteristic p, the dimension of the tangent space of the associated equivariant deformation functor is equal to the dimension of the space of ...
Koeck, Bernhard, Kontogeorgis, Aristides
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On the integral simplicial volume of cyclic covers of mapping tori
Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.Abstract In this paper, we investigate the asymptotic behavior of the integral simplicial volume of cyclic covers of manifolds that fiber over the circle with fiber given by an n$n$‐dimensional torus. By studying the integral filling volume—an invariant introduced by Frigerio and the first author—for the monodromy, we establish both lower and upper ...
Federica Bertolotti +1 more
wiley +1 more source
On the Galois module structure of units in met acyclic extensions [PDF]
, 1996 Let Г be a metacyclic group of order pq with p and q prime. We shall show that the Г-cohomology and character of a Г-lattice determine its genus. Let N/L be a Galois extension with group Г, then U(_N), the torsion-free units of N, is a Г-lattice and the ...
McGaul, K.Y., McGaul, Karen Yvonne
core