Results 51 to 60 of about 75,652 (194)
On cohomology of locally profinite sets
Proceedings of the London Mathematical Society, Volume 132, Issue 5, May 2026.Abstract We construct a locally profinite set of cardinality ℵω$\aleph _{\omega }$ with infinitely many first cohomology classes of which any distinct finite product does not vanish. Building on this, we construct the first example of a nondescendable faithfully flat map between commutative rings of cardinality ℵω$\aleph _{\omega }$ within Zermelo ...
Ko Aoki
wiley +1 more source
The Serre duality theorem for Reimann surfaces
International Journal of Mathematics and Mathematical Sciences, 1984 Given a Riemann surface S, there exists a finitely generated Fuchsian group G of the first kind acting on the upper half plane U, such that S≅U/G. This isomorphism makes it possible to use Fuchsian group methods to prove theorems about Riemann surfaces ...
Ranjan Roy
doaj +1 more source
Co-prolongations of a group extension [PDF]
International Journal of Group Theory, 2014 The aim of this paper is to study co-prolongationsof central extensions. We construct the obstruction theory forco-prolongations and classify the equivalence classes of these by kernels of ahomomorphisms between 2-dimensional cohomology groups of groups.
Nguyen Thi Thu Thuy +2 more
doaj
On the cohomology of almost complex and symplectic manifolds and proper surjective maps
, 2016 Let $(X,J)$ be an almost-complex manifold. In \cite{li-zhang} Li and Zhang introduce $H^{(p,q),(q,p)}_J(X)_{\rr}$ as the cohomology subgroups of the $(p+q)$-th de Rham cohomology group formed by classes represented by real pure-type forms. Given a proper,
Tardini, Nicoletta, Tomassini, Adriano
core +1 more source
Fortschritte der Physik, Volume 74, Issue 4, April 2026.Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
wiley +1 more source
Fortschritte der Physik, Volume 74, Issue 4, April 2026.ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré +4 more
wiley +1 more source
Substitutions with Vanishing Rotationally Invariant First Cohomology
Discrete Dynamics in Nature and Society, 2012 The cohomology groups of tiling spaces with three-fold and nine-fold symmetries are obtained. The substitution tilings are characterized by the fact that they have vanishing first cohomology group in the space of tilings modulo a rotation.
Juan García Escudero
doaj +1 more source
A Miyaoka–Yau inequality for hyperplane arrangements in CPn$\mathbb {CP}^n$
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract Let H$\mathcal {H}$ be a hyperplane arrangement in CPn$\mathbb {CP}^n$. We define a quadratic form Q$Q$ on RH$\mathbb {R}^{\mathcal {H}}$ that is entirely determined by the intersection poset of H$\mathcal {H}$. Using the Bogomolov–Gieseker inequality for parabolic bundles, we show that if a∈RH$\mathbf {a}\in \mathbb {R}^{\mathcal {H}}$ is ...
Martin de Borbon, Dmitri Panov
wiley +1 more source
1-Cohomology of Chevalley groups
Journal of Algebra, 1989 Let G be a Chevalley group over the finite field \({\mathbb{F}}_ q\) and let B denote a Borel subgroup. The author considers extensions between the trivial module and simple modules. If the highest weight \(\lambda\) of the simple module is a fundamental weight he proves that except for a few cases where \(q\leq 3\) any such extension is realized as a ...
Department of Mathematics, University of Florida, Gainesville, Florida 32611 U.S.A. ( host institution ) +1 more
openaire +2 more sources
Sublinear bilipschitz equivalence and the quasiisometric classification of solvable Lie groups
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract We prove a product theorem for sublinear bilipschitz equivalences which generalizes the classical work of Kapovich, Kleiner, and Leeb on quasiisometries between product spaces. We employ our product theorem to distinguish up to quasiisometry certain families of solvable groups which share the same dimension, cone‐dimension and Dehn function ...
Ido Grayevsky, Gabriel Pallier
wiley +1 more source