Results 51 to 60 of about 1,348 (187)
Cohomology with supports [PDF]
Pacific Journal of Mathematics, 1986 In this paper the study of cohomology theories, on a Hausdorff space X, introduced by the author in two previous papers [Contemp. Math. 12, 315- 329 (1982; Zbl 0518.55003); ''Cohomology theory on spaces'' (to appear)] is continued. If \(\Phi\) is a family of supports on X and H,\(\delta\) is a cohomology theory on X, then H,\(\delta\) has supports in \(
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HILBERT STRATIFOLDS AND A QUILLEN TYPE GEOMETRIC DESCRIPTION OF COHOMOLOGY FOR HILBERT MANIFOLDS
Forum of Mathematics, Sigma, 2018 In this paper we use tools from differential topology to give a geometric description of cohomology for Hilbert manifolds. Our model is Quillen’s geometric description of cobordism groups for finite-dimensional smooth manifolds [Quillen, ‘Elementary ...
MATTHIAS KRECK, HAGGAI TENE
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Kuga–Satake Construction on Families of K3 Surfaces of Picard Rank 14
Mathematische Nachrichten, Volume 299, Issue 8, Page 1894-1916, August 2026.ABSTRACT The isometry between the type IV6 and the type II4 hermitian symmetric domains suggests a possible relation between suitable moduli spaces of K3 surfaces of Picard rank 14 and of polarized abelian 8‐folds with totally definite quaternion multiplication. We show how this isometry induces a geometrically meaningful map between such moduli spaces
Flora Poon
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$L^\infty$ cohomology is intersection cohomology
, 2009 Let $X$ be any subanalytic compact pseudomanifold. We show a De Rham theorem for $L^\infty$ forms. We prove that the cohomology of $L^\infty$ forms is isomorphic to intersection cohomology in the maximal perversity.
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Comptes Rendus. Mathématique, 2020 We prove Gersten’s conjecture for étale cohomology over two dimensional henselian regular local rings without assuming equi-characteristic. As an application, we obtain the local-global principle for Galois cohomology over mixed characteristic two ...
Sakagaito, Makoto
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The Two Extremal Rays of Some Hyper–Kähler Fourfolds
Mathematische Nachrichten, Volume 299, Issue 8, Page 2161-2176, August 2026.ABSTRACT We consider projective Hyper–Kähler manifolds of dimension 4 that are deformation equivalent to Hilbert squares of K3 surfaces. In case such a manifold admits a divisorial contraction, the exceptional divisor is a conic bundle over a K3 surface. A classification of lattice embeddings implies that there are five types of such conic bundles.
Federica Galluzzi, Bert van Geemen
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On the Cohomology of Contextuality [PDF]
Electronic Proceedings in Theoretical Computer Science, 2017 Recent work by Abramsky and Brandenburger used sheaf theory to give a mathematical formulation of non-locality and contextuality. By adopting this viewpoint, it has been possible to define cohomological obstructions to the existence of global sections. In the present work, we illustrate new insights into different aspects of this theory.
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Cohomology of Effect Algebras [PDF]
Electronic Proceedings in Theoretical Computer Science, 2017 We will define two ways to assign cohomology groups to effect algebras, which occur in the algebraic study of quantum logic. The first way is based on Connes' cyclic cohomology. The resulting cohomology groups are related to the state space of the effect
Frank Roumen
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Inducing Coverings on Hilbert Schemes
Mathematische Nachrichten, Volume 299, Issue 8, Page 2177-2190, August 2026.ABSTRACT We find an explicit geometric description of all coverings of Hilb2(Σ)$\operatorname{Hilb}^{2}(\Sigma)$ when Σ$\Sigma$ is a normal, complex, quasi‐projective surface with finite fundamental group. We then apply this construction to show that if Σ$\Sigma$ is an irreducible symplectic surface then Hilb2(Σ)$\operatorname{Hilb}^{2}(\Sigma)$ is an ...
Lucas Li Bassi, Filippo Papallo
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