Results 41 to 50 of about 1,113 (200)
Normal subgroups of profinite groups of finite cohomological dimension [PDF]
, 2015 A profinite group G of finite cohomological dimension with (topologically) finitely generated closed normal subgroup N is studied. If G is pro-p and N is either free as a pro-p group or a Poincare group of dimension 2 or analytic pro-p, it is shown that ...
Zalesskii, P. A. +3 more
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Cohomological dimension of Markov compacta [PDF]
, 2007 We rephrase Gromov's definition of Markov compacta, introduce a subclass of Markov compacta defined by one building block and study cohomological dimensions of these compacta.
Dranishnikov, A.N., A.N. Dranishnikov
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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
Cohomological invariants of odd degree Jordan algebras [PDF]
, 2008 In this paper we determine all possible cohomological invariants of Aut(J)-torsors in Galois cohomology with mod 2 coefficients (characteristic of the base field not 2), for J a split central simple Jordan algebra of odd degree n ≥ 3.
MacDonald, Mark
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A birational description of the minimal exponent
Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.Abstract We give a description of the minimal exponent of a hypersurface using higher direct images of suitably twisted sheaves of log forms on a log resolution.
Qianyu Chen, Mircea Mustaţă
wiley +1 more source
On The Cohomological Dimension of Local Cohomology Modules
, 2015 Let $R$ be a Noetherian ring, $I$ an ideal of $R$ and $M$ an $R$-module with $\operatorname{cd}(I,M)=c$. In this article, we first show that there exists a descending chain of ideals $I=I_c\supsetneq I_{c-1}\supsetneq \cdots \supsetneq I_0$ of $R$ such that for each $0\leq i\leq c-1$, $\operatorname{cd}(I_i,M)=i$ and that the top local cohomology ...
Erdoǧdu, Vahap, Yıldırım, Tuǧba
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On Cohomological Decomposability of Almost-Kähler Structures [PDF]
, 2012 We study the J-invariant and J-anti-invariant cohomological subgroups of the de Rham cohomology of a compact manifold M endowed with an almost-K\"ahler structure (J, \omega, g).
Tomassini, Adriano +2 more
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Dimension-raising theorems for cohomological and extension dimensions [PDF]
, 2008 We establish cohomological and extension dimension versions of the Hurewicz dimension-raising ...
Vesko Valov +3 more
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On the Auslander–Reiten theory for extended hearts of proper connective dg algebras
Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.Abstract We prove that, for a proper connective dg algebra A$A$ with cohomology concentrated in degrees between 1−d$1-d$ and 0, the extended heart Dfd(A)(−d,0]⊆Dfd(A)$\mathcal {D}^{\mathrm{fd}}(A)^{(-d,0]}\subseteq \mathcal {D}^{\mathrm{fd}}(A)$ is an extriangulated category with almost‐split conflations.
Nao Mochizuki, Marvin Plogmann
wiley +1 more source
Investigating the cohomological dimensions of ℳg [PDF]
International Journal of Mathematics, 2016 We discuss the problem of determining the de Rham, Dolbeault and algebraic cohomological dimension of [Formula: see text], focusing on possible strategies of attack and then concentrating on exhaustion functions. In the final section, we explain how these techniques can be employed to provide a nontrivial upper bound for the Dolbeault cohomological ...
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