Results 81 to 90 of about 173,448 (222)
Arithmetic sparsity in mixed Hodge settings
Abstract Let X$X$ be a smooth irreducible quasi‐projective algebraic variety over a number field K$K$. Suppose X$X$ is equipped with a p$p$‐adic étale local system compatible with an admissible graded‐polarized variation of mixed Hodge structures on the complex analytification of XC$X_{\operatorname{\mathbb {C}}}$.
Kenneth Chung Tak Chiu
wiley +1 more source
(Co)homology of triassociative algebras
We study homology and cohomology of triassociative algebras with nontrivial coefficients. The cohomology theory is applied to study algebraic deformations of triassociative algebras.
Donald Yau
doaj +1 more source
Type II string theory on Calabi-Yau manifolds with torsion and non-Abelian discrete gauge symmetries
We provide the first explicit example of Type IIB string theory compactification on a globally defined Calabi-Yau threefold with torsion which results in a four-dimensional effective theory with a non-Abelian discrete gauge symmetry. Our example is based
Volker Braun +3 more
doaj +1 more source
Remarks on some infinitesimal symmetries of Khovanov–Rozansky homologies in finite characteristic
Abstract We give a new proof of a theorem due to Shumakovitch and Wang on base point independence of Khovanov–Rozansky homology in characteristic p$p$. Some further symmetries of gl(p)$\mathfrak {gl}(p)$‐homology in characteristic p$p$ are also discussed.
You Qi +3 more
wiley +1 more source
Stable equivalence relations on 4‐manifolds
Abstract Kreck's modified surgery gives an approach to classifying smooth 2n$2n$‐manifolds up to stable diffeomorphism, that is, up to connected sum with copies of Sn×Sn$S^n \times S^n$. In dimension 4, we use a combination of modified and classical surgery to study various stable equivalence relations which we compare to stable diffeomorphism.
Daniel Kasprowski +2 more
wiley +1 more source
A note on local formulae for the parity of Selmer ranks
Abstract In this note, we provide evidence for a certain ‘twisted’ version of the parity conjecture for Jacobians, introduced in prior work of Dokchitser, Green, Konstantinou and the author. To do this, we use arithmetic duality theorems for abelian varieties to study the determinant of certain endomorphisms acting on p∞$p^\infty$‐Selmer groups.
Adam Morgan
wiley +1 more source
On the Hochschild cohomology theory of A∞-algebra
We will study the simplicial (co)homology for Hochschild complex for A∞–algebra with homotopical properties. The relations which relate a simplicial cohomology of commutative A∞-algebra and the set twisted cochain D(A, A), of this complex holds and ...
Alaa Hassan Noreldeen
doaj +1 more source
We prove Gersten’s conjecture for étale cohomology over two dimensional henselian regular local rings without assuming equi-characteristic. As an application, we obtain the local-global principle for Galois cohomology over mixed characteristic two ...
Sakagaito, Makoto
doaj +1 more source
Property (T) for groups acting on affine buildings
Abstract We prove that a group acting geometrically on a thick affine building has property (T). A more general criterion for property (T) is given for groups acting on partite complexes.
Izhar Oppenheim
wiley +1 more source
DERIVED HECKE ALGEBRA AND COHOMOLOGY OF ARITHMETIC GROUPS
We describe a graded extension of the usual Hecke algebra: it acts in a graded fashion on the cohomology of an arithmetic group $\unicode[STIX]{x1D6E4}$.
AKSHAY VENKATESH
doaj +1 more source

