The ´ Etale Cohomology with Compact Support
The support of local cohomology modules
... In [Lyu97]) Gennady Lyubeznik described an algorithm for computing the support of F -finite F -modules. That algorithm requires the calculation for roots of these modules, and this relies on the calculation of ...
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On continuous cohomology of locally compact Abelian groups and bilinear maps
... bilinear cohomology with a trivial ...locally compact abelian groups a central extension with a continuous sec- tion can be embedded in the second bilinear ...
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The support of top graded local cohomology modules
... local cohomology modules might also have finitely many minimal associated primes; the only examples known to me of non-top local cohomology modules with infinitely many associated primes are the following: ...
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Rational equivariant cohomology theories with toral support
... We then spend several sections developing machinery to discuss categories of modules over a diagram of rings on which a finite group acts. In Section 4 the categorical setup is described and in Section 5 this is ...
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A Comparison of p adic Motivic Cohomology and Rigid Cohomology
... ACKNOWLEDGEMENTS First and foremost, I would like to thank my advisor, Matthias Flach, for suggesting the problem, and his kind, patient and wise guidance and support over the years. He has helped me form as a ...
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Simplicial cohomology of orbifolds
... 4.3 Proof of Theorem 2.1.1. Our purpose in this section is to construct a specific subgroupoid H ⊂ G for M from a given triangulation. First, observe the following method for constructing a groupoid H ⊆ G as in Lemma ...
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CiteSeerX — Hodge cohomology of . . .
... a compact manifold with an asymptotically locally Euclidean (ALE) manifold is an example of a general fibred boundary metric and a product of a compact manifold with a finite volume hyperbolic cusp is an ...
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Workshop on Bounded Cohomology
... The aim of this talk is to define the ideal simplicial volume, which is a variation of the ordinary one for compact manifolds with boundary. The main difference between the two invariants is that the ideal ...
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Separating invariants and local cohomology
... local cohomology with sup- port in I S V,G . Local cohomology with support in a subspace arrangement is studied by ` Alvarez, Garc´ıa, and Zarzuela in ...ℓ-adic cohomology of such spaces, they ...
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On the Integral Cohomology of Bianchi groups
... • show that H cusp 2 can have sporadically large torsion part with very little torsion- free part, in particular the speculations of Grunewald and Schwermer mentioned above are false, • support a recent conjecture ...
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Cohomology of Absolute Galois Groups
... One may very well say that the Theory of Profinite Groups is “daughter” of Galois Theory. Indeed profinite groups arose first in the study of the Galois groups of infinite Galois extensions of fields, as such groups are ...
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Cheeger Simons differential characters with compact support and Pontryagin duality
... Let us stress that this fact does not affect the rest of [HLZ03]. Remark 4.6. For the sake of completeness, it is worth to compare between the compactly supported differential characters introduced here using the ...
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On the Cohomology of Classifying Spaces of Groups of Homeomorphisms
... ( 2n − k + 2 if m − k ≥ n m + n − 2k + 2 if m − k < n. 1 .11. Relation to the previous work. The obvious strategy to un- derstand the topology of the classifying space BH of a homeomor- phism group H is to consider a map ...
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On the Etale Fundamental Group of Schemes over the Natural Numbers
... ´ etale fundamental group of Spec( R + ) we lifted idempotents from B to R + ; this could be considered similar to the way one can lift solutions from F p to Z p ...
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COHOMOLOGY OF GROUPS
... It includes some general results on the structure of the ring H* (BG , Z/pZ) when G is a compact Lie group, a theorem computing this ring for a large number of interesting finite group[r] ...
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Cohomology of effect algebras
... Using topological cohomology theory, one obtains a criterion for classical realizability.. (Abramsky, Mansfield, Soares Barbosa).[r] ...
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STABILIZATION OF THE COHOMOLOGY OF THICKENINGS
... the cohomology of vector bundles on the formal completion of P n along X can be effectively computed as the cohomology on any sufficiently high thickening X t = V ( I t ); the main ingredient here is a ...
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Cohomology and extensions of braces
... An alternative approach to extensions was suggested earlier by Ben David and Ginosar [5]. Concretely, they studied the lifting problem for bijective 1-cocycles— which is yet another avatar of braces. Their work was ...
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An Introduction to the Cohomology of Groups
... nth cohomology group of G with coef- ficients in the left ZG-module M , and H n (G, M ) := Tor ZG n (M, Z) to be the nth homology group of G with coefficients in the right ZG-module M ...
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THE COHOMOLOGY OF THE CLASSIFYING SPACE FOR
... In order to use these results and the standard tool of algebraic topology for calculating cohomology, namely spectral, sequences, we put B U, as total space in a fibration whose base and[r] ...