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Improved Statistics for F-theory Standard Models. [PDF]
Commun Math PhysBies M, Cvetič M, Donagi R, Ong M.
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Splitting unramified Brauer classes by abelian torsors and the period-index problem. [PDF]
Math AnnHuybrechts D, Mattei D.
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Arithmetic fundamental lemma for the spherical Hecke algebra. [PDF]
Manuscr MathLi C, Rapoport M, Zhang W.
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Coarse Cohomology and lp-Cohomology
K-Theory, 1998Let \(G\) be a connected, undirected infinite graph with uniformly bounded vertex degrees. For any \(k\in\mathbb{N}\) and \(k=\infty\) the \(k\)th reduced and unreduced \(\ell_p\)-cohomologies for those graphs are defined: \(HX^k_{(p)}(G)\) and \(\overline{HX}^k_{(p)}(G)\).
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Journal of Mathematical Physics, 1987
The cohomological properties of supermanifolds (intended in the sense of De Witt [Supermanifolds (Cambridge U. P., London, 1984)] and Rogers [J. Math. Phys. 21, 1352 (1980)]) are investigated, paying particular attention to the de Rham cohomology of supersmooth differential forms (SDR cohomology).
BARTOCCI, CLAUDIO, U. Bruzzo
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The cohomological properties of supermanifolds (intended in the sense of De Witt [Supermanifolds (Cambridge U. P., London, 1984)] and Rogers [J. Math. Phys. 21, 1352 (1980)]) are investigated, paying particular attention to the de Rham cohomology of supersmooth differential forms (SDR cohomology).
BARTOCCI, CLAUDIO, U. Bruzzo
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Functional Analysis and Its Applications, 1985
Since de Rham cohomology of a smooth supermanifold coincides with the usual cohomology of a supporting manifold the authors try to define an adequate cohomology theory. They define a bigraded cohomology group of a supermanifold by means of an (r,s)-dimensional density along an (r,s)- dimensional subsupermanifold.
A. S. Shvarts, M. A. Baranov
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Since de Rham cohomology of a smooth supermanifold coincides with the usual cohomology of a supporting manifold the authors try to define an adequate cohomology theory. They define a bigraded cohomology group of a supermanifold by means of an (r,s)-dimensional density along an (r,s)- dimensional subsupermanifold.
A. S. Shvarts, M. A. Baranov
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Israel Journal of Mathematics, 2000 The author introduces a measure of complexity for affine algebras and their finitely generated modules. For some affine local \(K\)-algebra \(R\) and a finitely generated \(R\)-module \(M\) with the presentation \(R^s @>f>> R^t \to M \to 0\) the complexity of \(M\) is at most \(d\) provided \(t, s \leq d\) and each entry of the matrix of \(f\) is the ...
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