Results 111 to 120 of about 6,115 (235)
Transfers for ramified covering maps in homology and cohomology
Making use of a modified version, due to McCord, of the Dold-Thom construction of ordinary homology, we give a simple topological definition of a transfer for ramified covering maps in homology with arbitrary coefficients.
Marcelo A. Aguilar, Carlos Prieto
doaj +1 more source
Computational Tools for Cohomology of Toric Varieties
Novel nonstandard techniques for the computation of cohomology classes on toric varieties are summarized. After an introduction of the basic definitions and properties of toric geometry, we discuss a specific computational algorithm for the determination
Ralph Blumenhagen +2 more
doaj +1 more source
One-dimensional super Calabi-Yau manifolds and their mirrors
We apply a definition of generalised super Calabi-Yau variety (SCY) to supermanifolds of complex dimension one. One of our results is that there are two SCY’s having reduced manifold equal to ℙ 1 $$ {\mathrm{\mathbb{P}}}^1 $$ , namely the projective ...
S. Noja +4 more
doaj +1 more source
COMPATIBLE SYSTEMS OF GALOIS REPRESENTATIONS ASSOCIATED TO THE EXCEPTIONAL GROUP $E_{6}$
We construct, over any CM field, compatible systems of $l$-adic Galois representations that appear in the cohomology of algebraic varieties and have (for all $l$) algebraic monodromy groups equal to the exceptional group of type $E_{6}$.
GEORGE BOXER +5 more
doaj +1 more source
Symplectic Bott-Chern cohomology of solvmanifolds
We study the symplectic Bott-Chern cohomology by L.-S. Tseng and S.-T.
Daniele Angella +3 more
core
Vanishing results for the cohomology of complex toric hyperplane complements [PDF]
Suppose R is the complement of an essential arrangement of toric hyperlanes in the complex torus and ? = ?1(R). We show that H*(R;A) vanishes except in the top degree n when A is one of the following systems of local coefficients: (a) a system of ...
Simona Settepanella, Mike W. Davis
core
Acylindrical hyperbolicity of groups acting on trees
We provide new examples of acylindrically hyperbolic groups arising from actions on simplicial trees. In particular, we consider amalgamated products and HNN-extensions, 1-relator groups, automorphism groups of polynomial algebras, 3-manifold groups and ...
Osin, Denis +3 more
core +1 more source
The prolongation of central extensions [PDF]
The aim of this paper is to study the $( alpha, gamma)$-prolongation of central extensions. We obtain the obstruction theory for $( alpha, gamma)$-prolongations and classify $( alpha, gamma)$-prolongations thanks to low-dimensional cohomology groups of ...
Nguyen Tien Quang +2 more
doaj
The homotopy type of toric arrangements [PDF]
A toric arrangement is a finite set of hypersurfaces in a complex torus, every hypersurface being the kernel of a character. In the present paper we build a CW-complex S homotopy equivalent to the arrangement complement ℜ x, with a combinatorial ...
Luca Moci, Simona Settepanella
core
Centralisers of finite subgroups in soluble groups of type FPn
We show that for soluble groups of type FPn , centralisers of finite subgroups need not be of type ...
Martínez-Pérez, Conchita +5 more
core +1 more source

