Results 11 to 20 of about 230 (114)
Vector bundles on manifolds: the cohomology of projective algebraic varieties [PDF]
, 2004 This Thesis looks at different areas of mathematics which require the notion of a differentiable manifold. The first three chapters contain various materials such as differentiable manifolds, submanifolds, tangent bundles, differential forms ...
Al-Ofi, Abdulaziz Slaim
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The De Rham theorem and an application on the Lie group theory [PDF]
, 2019 Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2019, Director: Ignasi Mundet i Riera[en] The origin of the algebraic topology opened a new way to study the geometric properties through some algebraic ...
Viché Montahud, Carlos
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One the P-Adic Local Invariant Cycle Theorem [PDF]
, 2012 The aim of this paper is to consider the $p$-adic local invariant cycle theorem in the mixed characteristic case. In the first part of the paper, via case-by-case discussion, we construct the $p$-adic specialization map, and then write out the ...
Wu, Yi-Tao
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From Homology to de Rham Cohomology: An Expository Journey through the Topology of Smooth Manifolds
This exposition traces a path from the geometric intuition of shapes and holes to the analytic framework of de Rham cohomology. Beginning with the classical motivations of Euler, Poincaré, andGauss–Bonnet, we see how algebraic invariants emerged to ...
Anshveer Bindra
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, 2012 We introduce the notion of an F-gauge and show, how these objects are connected to F-zips and displays. After establishing these relationships, we define the syntomic sheaves Oncris and prove, that these sheaves are flat over the truncated ring of Witt ...
Wid, Marcel
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Refined and l-adic Euler characteristics of nearly perfect complexes [PDF]
, 2004 We lift the Euler characteristic of a nearly perfect complex to a relative algebraic K-group by passing to its l-adic Euler ...
Burns, David +6 more
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On the Geometry of Forms on Supermanifolds [PDF]
, 2023 This paper provides a rigorous account on the geometry of forms on supermanifolds, with a focus on its algebraic-geometric aspects. First, we introduce the de Rham complex of differential forms and we compute its cohomology.
Noja S., Noja, Simone, Simone Noja
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Galois structure of Zariski cohomology for weakly ramified covers of curves
, 2004 We compute equivariant Euler characteristics of locally free sheaves on curves, thereby generalizing several results of Kani and Nakajima. For instance, we extend Kani's computation of the Galois module structure of the space of global meromorphic ...
Koeck, Bernhard
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Localization sequences for logarithmic topological cyclic homology
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract We introduce the notion of an Ek$\mathbb {E}_k$‐ring with prelogarithmic structure, define logarithmic topological Hochschild homology and logarithmic topological cyclic homology in this context, and establish localization sequences for these theories. Our approach is based on Thom R$R$‐algebras.
John Rognes +2 more
wiley +1 more source
Bott-Chern cohomology of solvmanifolds [PDF]
, 2012 We study conditions under which sub-complexes of a double complex of vector spaces allow to compute the Bott-Chern cohomology.
Daniele Angella +3 more
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