Results 51 to 60 of about 1,034,783 (201)
Cohomological dimension and arithmetical rank of some determinantal ideals
Le Matematiche, 2015 Let M be a (2 × n) non-generic matrix of linear forms in a polynomial ring. For large classes of such matrices, we compute the cohomological dimension (cd) and the arithmetical rank (ara) of the ideal I_2(M) generated by the 2-minors of M.
Davide Bolognini +3 more
doaj
Higher representation stability for ordered configuration spaces
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract Using factorization homology with coefficients in twisted commutative algebras (TCAs), we prove two flavors of higher representation stability for the cohomology of (generalized) configuration spaces of a scheme/topological space X$X$. First, we provide an iterative procedure to study higher representation stability using actions coming from ...
Quoc P. Ho
wiley +1 more source
Diophantine and cohomological dimensions [PDF]
Proceedings of the American Mathematical Society, 2015 We give explicit linear bounds on the p p -cohomological dimension of a field in terms of its Diophantine dimension.
Krashen, Daniel, Matzri, Eliyahu
openaire +3 more sources
Pinwheels in symplectic rational and ruled surfaces and non‐squeezing of rational homology balls
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract We use almost toric fibrations and the symplectic rational blow‐up to determine when certain Lagrangian pinwheels, which we call liminal, embed in symplectic rational and ruled surfaces. The case of L2,1$L_{2,1}$‐pinwheels, namely Lagrangian RP2s$\mathbb {R}P^2{\rm s}$, answers a question of Kronheimer in the negative, exhibiting a symplectic ...
Nikolas Adaloglou, Johannes Hauber
wiley +1 more source
Finite abelian group actions on weakly Lefschetz cohomologically symplectic manifolds
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract We study continuous finite abelian group actions on weakly Lefschetz cohomologically symplectic (WLS) manifolds, a collection of topological manifolds that includes all compact connected Kaehler manifolds. We prove that for any WLS manifold X$X$, there exists a number C$C$ such that, for any integer m⩾C$m\geqslant C$, if (Z/m)k$({\mathbb {Z ...
Ignasi Mundet i Riera
wiley +1 more source
Two-relator groups with prescribed cohomological dimension
, 1987 For each integer n ⩾ 2 n \geqslant 2 , an example is constructed of a 2 2 -generator, 2 2 -relator presentation of a group G ( n ) G(n)
James Howie
core +1 more source
K-Orbit closures and Hessenberg varieties
Forum of Mathematics, SigmaThis article explores the relationship between Hessenberg varieties associated with semisimple operators with two eigenvalues and orbit closures of a spherical subgroup of the general linear group.
Mahir Bilen Can +3 more
doaj +1 more source
Simple homotopy theory for Fukaya categories
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract We develop a categorical framework for simple homotopy theory in Fukaya categories, based on the fundamental group of the ambient symplectic manifold. When the first Chern class vanishes, we show that any isomorphism in the Fukaya category of a Weinstein manifold has trivial Whitehead torsion.
Yonghwan Kim
wiley +1 more source
Homological dimension and Farrell cohomology
Journal of Algebra, 1984 \textit{F. T. Farrell} [J. Pure Appl. Algebra 10, 153--161 (1978; Zbl 0373.20050)] constructed a cohomology theory for groups of finite virtual cohomological dimension which generalizes the Tate cohomology theory of finite groups. In this very interesting paper the author extends Farrell cohomology to a class of groups larger than the class of groups ...
openaire +2 more sources
Bounding The Hochschild Cohomological Dimension [PDF]
, 2014 Ce mémoire a deux objectifs principaux. Premièrement de développer et interpréter les groupes de cohomologie de Hochschild de basse dimension et deuxièmement de borner la dimension cohomologique des k-algèbres par dessous; montrant que presque aucune ...
Kratsios, Anastasis
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