Results 21 to 30 of about 1,003,210 (193)
Topological calculation of local cohomological dimension [PDF]
, 2023 We show that the sum of the local cohomological dimension and the rectified $\mathbb Q$-homological depth of a closed analytic subspace of a complex manifold coincide with the dimension of the ambient manifold.
Walther, Uli +2 more
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DCC categories of cohomological dimension one [PDF]
, 1992 A characterization of dcc categories of cohomological dimension one is given from which a characterization of dcc posets of cohomological dimension one is ...
Cheng, Charles Ching-an
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Two-sided homological properties of special and one-relator monoids
Forum of Mathematics, SigmaA monoid presentation is called special if the right-hand side of each defining relation is equal to 1. We prove results which relate the two-sided homological finiteness properties of a monoid defined by a special presentation with those of its group of
Robert D. Gray, Benjamin Steinberg
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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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Local multiplicativity of perverse filtrations
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract Let f:S→C$f:S\rightarrow C$ be a proper surjective morphism from a smooth Kähler surface to a smooth curve. We show that the local perverse filtration associated with the induced map S[n]→C(n)$S^{[n]}\rightarrow C^{(n)}$ is multiplicative on each fiber if and only if f$f$ is an elliptic fibration.
Zili Zhang
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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Algebras of Finite Cohomological Dimension [PDF]
Nagoya Mathematical Journal, 1971 The cohomology theory of an associative algebra has been shown to be valuable in the study of the structure of algebras of finite cohomological dimension, especially those of dimension less than or equal to one over a field. M. Harada [9] has shown that every semi-primary hereditary algebra A (for example, A is finitely generated over a field R and has
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Towards quantum hierarchy for the Gromov–Witten theory of elliptic curves
Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.Abstract We construct the quantum double ramification (DR) hierarchy associated with the Gromov–Witten theory of elliptic curves. We use results of Oberdieck and Pixton on the intersection numbers of the DR cycle, the Gromov–Witten classes of the elliptic curve, and the Hodge class λg−1$\lambda _{g-1}$, together with vanishing results for λg−2$\lambda ...
Paolo Rossi +2 more
wiley +1 more source
An Eilenberg-Ganea phenomenon for actions with virtually cyclic stabilizers
, 2014 In dimension 3 and above, Bredon cohomology gives an acurate purely algebraic description of the minimal dimension of the classifying space for actions of a group with stabilisers in any given family of subgroups.
Martin G. Fluch +3 more
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Separable ring extensions and cohomological dimension [PDF]
, 1988 Our purpose here is to obtain generalizations of several results on cohomological dimension of algebras due to M. Auslander, Eilenberg, Rosenberg, and Zelinsky in which the notion of separable algebra plays a significant role. The generalization consists
Lbekkouri, Aboubakr
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