Results 91 to 100 of about 12,740,858 (240)

Cohomology of manifolds with structure group $U(n)\times O(s)$ [PDF]

, 2022
Paweł Raźny
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Cohomology and Crossed Modules of Modified Rota–Baxter Pre-Lie Algebras

Mathematics
The goal of the present paper is to provide a cohomology theory and crossed modules of modified Rota–Baxter pre-Lie algebras. We introduce the notion of a modified Rota–Baxter pre-Lie algebra and its bimodule.
Fuyang Zhu, Wen Teng
doaj   +1 more source

Duality of Hodge numbers of compact complex nilmanifolds

Complex Manifolds, 2015
A compact K¨ahlerian manifoldM of dimension n satisfies hp,q(M) = hq,p(M) for each p, q.However, a compact complex manifold does not satisfy the equations in general. In this paper, we consider duality of Hodge numbers of compact complex nilmanifolds.
Yamada Takumi
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A vanishing result for the first twisted cohomology of affine varieties and applications to line arrangements

, 2017
A general vanishing result for the first cohomology group of affine smooth complex varieties with values in rank one local systems is established. This is applied to the determination of the monodromy action on the first cohomology group of the Milnor ...
Bailet, Pauline, Dimca, Alexandru, Yoshinaga, Masahiko   +2 more
core  

Generalizations of quasielliptic curves [PDF]

Épijournal de Géométrie Algébrique
We generalize the notion of quasielliptic curves, which have infinitesimal symmetries and exist only in characteristic two and three, to a remarkable hierarchy of regular curves having infinitesimal symmetries, defined in all characteristics and having ...
Cesar Hilario, Stefan Schröer
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Galois cohomology of algebraic groups acting on the tensor product of two composition algebras [PDF]

, 2021
Simon W. Rigby
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Nonabelian embedding tensors on 3-Lie algebras and 3-Leibniz-Lie algebras

Electronic Research Archive
The purpose of this paper is to study nonabelian embedding tensors on 3-Lie algebras, and to explore the fundamental algebraic structures, cohomology and deformations associated with them.
Wen Teng, Xiansheng Dai
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p-Groups are Not Determined by Their Integral Cohomology Groups [PDF]

, 1995
Ian J. Leary
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Hodge numbers and invariant complex structures of compact nilmanifolds

Complex Manifolds, 2016
In this paper, we consider several invariant complex structures on a compact real nilmanifold, and we study relations between invariant complex structures and Hodge numbers.
Yamada Takumi
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On the Cohomology of Exact Sequences of Compact Groups [PDF]

, 1962
Sufian Y. Husseini
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