Results 41 to 50 of about 50,694 (192)

Galois cohomology of biquadratic extensions

Commentarii Mathematici Helvetici, 1993
Let \(F\) be a field of characteristic different from 2, and let \(\Gamma\) be the Galois group of the separable algebraic closure \(\overline{F}\) over \(F\). Let \(\Lambda\) be the field of two elements, considered as a \(\Gamma\)-module by the trivial action of \(\Gamma\); and if \(K\) is a subfield of \(\overline{F}\) which is a normal, finite ...
Tignol, J.-P., Merkurjev, A.S.
openaire   +1 more source

Inducing Coverings on Hilbert Schemes

Mathematische Nachrichten, Volume 299, Issue 8, Page 2177-2190, August 2026.
ABSTRACT We find an explicit geometric description of all coverings of Hilb2(Σ)$\operatorname{Hilb}^{2}(\Sigma)$ when Σ$\Sigma$ is a normal, complex, quasi‐projective surface with finite fundamental group. We then apply this construction to show that if Σ$\Sigma$ is an irreducible symplectic surface then Hilb2(Σ)$\operatorname{Hilb}^{2}(\Sigma)$ is an ...
Lucas Li Bassi, Filippo Papallo
wiley   +1 more source

A trace–path integral formula over function fields

Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.
Abstract We show that an arithmetic path integral over the ℓ$\ell$‐torsion of a Jacobian J[ℓ]$J[\ell]$ is equal to the trace of the Frobenius action on a representation of the Heisenberg group H(J[ℓ])$H(J[\ell])$, up to an explicitly determined sign.
Yan Yau Cheng
wiley   +1 more source

Heights on ‘hybrid orbits’ in Shimura varieties

Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract We prove the ‘hybrid conjecture’ which is a common generalisation of the André–Oort conjecture and the André–Pink–Zannier conjecture, in the case of Shimura varieties of abelian type.
Rodolphe Richard, Andrei Yafaev
wiley   +1 more source

Weights of the $\mathbb{F}_{q}$-forms of $2$-step splitting trivectors of rank $8$ over a finite field

Karpatsʹkì Matematičnì Publìkacìï, 2019
Grassmann codes are linear codes associated with the Grassmann variety $G(\ell,m)$ of $\ell$-dimensional subspaces of an $m$ dimensional vector space $\mathbb{F}_{q}^{m}.$ They were studied by Nogin for general $q.$ These codes are conveniently described
M.A. Rakdi, N. Midoune
doaj   +1 more source

The asymptotic Mahler measure of Gaussian periods

Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract We construct a sequence of cyclotomic integers (Gaussian periods) of particularly small Mahler measure/height. We study the asymptotics of their Mahler measure as a function of their conductor, to find that the growth rate is the (multivariate) Mahler measure of a family of log Calabi–Yau varieties of increasing dimension.
Gunther Cornelissen, David Hokken, Berend Ringeling   +2 more
wiley   +1 more source

Eisenstein Cohomology for $\mathrm {GL}_N$ and the special values of Rankin–Selberg L-functions over a totally imaginary number field

Forum of Mathematics, Sigma
This article presents new rationality results for the ratios of critical values of Rankin–Selberg L-functions of $\mathrm {GL}(n) \times \mathrm {GL}(n')$ over a totally imaginary field $F.$ The proof is based on a cohomological ...
A. Raghuram
doaj   +1 more source

Cpn$C_{p^n}$‐equivariant Mahowald invariants

Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract The classical Mahowald invariant is an operation that systematically produces new elements in the stable homotopy groups of spheres from known ones. We introduce the Cpn$C_{p^n}$‐Mahowald invariant: a relation π★SCpn−1⇀π*S$\pi _\star S_{\mathchoice{{ C_{p^{n-1}}}}{{\textstyle C_{p^{n-1}}}}{{\scriptstyle C_{p^{n-1}}}}{{\scriptscriptstyle C_{p ...
William Balderrama, Yueshi Hou, Shangjie Zhang   +2 more
wiley   +1 more source

Hochschild–Mitchell cohomology and Galois extensions

Journal of Pure and Applied Algebra, 2007
21 ...
Herscovich, E., Solotar, A.
openaire   +6 more sources

Manin's conjecture for integral points on toric varieties

Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract We formulate a conjecture on the number of integral points of bounded height on log Fano varieties in analogy with Manin's conjecture on the number of rational points of bounded height on Fano varieties. We also give a prediction for the leading constant that is similar to Peyre's interpretation of the leading constant in Manin's conjecture ...
Tim Santens
wiley   +1 more source