Results 161 to 170 of about 600 (183)

Monoidal invariance of the cohomological dimension of Hopf algebras: the finite case

Julien Bichon
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Topological structure of population activity in mouse visual cortex encodes densely sampled stimulus rotations. [PDF]

iScience
Beshkov K, Fyhn M, Hafting T, Einevoll GT.   +3 more
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Refinable maps and cohomological dimension(Cohomological Dimension and Soft Maps)

Refinable maps and cohomological dimension(Cohomological Dimension and Soft Maps)
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Cohomological Dimension of Generalized Local Cohomology Modules

Algebra Colloquium, 2008
The study of the cohomological dimension of algebraic varieties has produced some interesting results and problems in local algebra. Let 𝔞 be an ideal of a commutative Noetherian ring R. For finitely generated R-modules M and N, the concept of cohomological dimension cd 𝔞(M, N) of M and N with respect to 𝔞 is introduced.
Amjadi, Jafar, Naghipour, Reza
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Periodic cohomology and subgroups with bounded Bredon cohomological dimension

Mathematical Proceedings of the Cambridge Philosophical Society, 2008
AbstractMislin and Talelli showed that a torsion-free group in$\HF$with periodic cohomology after some steps has finite cohomological dimension. In this note we look at similar questions for groups with torsion by considering Bredon cohomology. In particular we show that every elementary amenable group acting freely and properly on some$\R^n$×Smadmits ...
Jo, Jang Hyun, Nucinkis, Brita E.A.
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Cohomological Dimension of Algebraic Varieties

The Annals of Mathematics, 1968
Let X be a scheme of finite type over a field k. The cohomological dimension of X is the smallest integer n > 0 such that H'(X, F) = 0 for all i > n, and for all quasi-coherent sheaves F on X. There are two well-known theorems about the cohomological dimension of X.
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Yang–Mills cohomology in four dimensions

Journal of Mathematical Physics, 1986
The local polynomial cohomology space of the Yang–Mills BRS operator in four dimensions is computed. In order to simplify the analysis, without omitting the physically interesting cases, the investigation is limited to polynomials whose Fadeev–Popov charge and UV naive dimensions have upper bounds.
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Local Cohomological Dimension of Algebraic Varieties

The Annals of Mathematics, 1973
If X is a smooth scheme of characteristic zero and Yc X is a closed subset, we find topological conditions on the singularities of Y which determine the best possible vanishing theorem for the sheaves of local cohomology Hf(F) for all i > r and all quasicoherent F.
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COHOMOLOGICAL DIMENSION OF SOME GALOIS GROUPS

Mathematics of the USSR-Izvestiya, 1975
Suppose that is a prime number, is an algebraic number field containing a primitive root ( if ), is a finite set of places of which contains all divisors of , is the maximal -extension of unramified outside , is an arbitrary -extension of , and . In this paper we find necessary and sufficient conditions for the group to be a free pro--group.
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Generalized local cohomology and Serre cohomological dimension

Summary: Let \(R\) be a commutative Noetherian ring, \(I \), \(J\) be two ideals of \(R\), and \(M\), \(N\) be two \(R\)-modules. Let \(S\) be a Serre subcategory of the category of \(R\)-modules. We introduce Serre cohomological dimension of \(N\), \(M\) with respect to \((I, J)\), as \(\mathrm{cd}_S(I, J, N, M) = \sup\{i\in\mathbb{N}_0: H_{I, J}^i(N,
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