搜索结果: 1-15 共查到“数学 H-variety”相关记录20条 . 查询时间(0.078 秒)
The de Rham-Witt and Zp-cohomologies of an algebraic variety
algebraic variety Zp-cohomologies
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2015/12/10
According to the standard philosophy (cf. Deligne 1994, 3.1), a cohomology theory X 7→
Hi
(X, r) on the algebraic varieties over a fixed field k should arise from a functor RΓ
taking va...
THE ESSENTIAL DIMENSION OF A g-DIMENSIONAL COMPLEX ABELIAN VARIETY IS 2g
ESSENTIAL DIMENSION COMPLEX ABELIAN VARIETY IS 2g
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2015/9/29
We compute the Buhler-Reichstein essential dimension of a complex abelian variety using Kummer theory.
THE SPLITTING OF REDUCTIONS OF AN ABELIAN VARIETY
SPLITTING OF REDUCTIONS ABELIAN VARIETY
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2015/8/26
Consider an absolutely simple abelian variety A defined over a number field K. For most places v of K, we study how the reduction Av of A modulo v splits up to isogeny. Assumingthe Mumford–Tate conjec...
A Fatou–Bieberbach domain avoiding a neighborhood of a variety of codimension 2
Fatou–Bieberbach domain avoiding codimension 2
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2015/8/26
A Fatou–Bieberbach domain avoiding a neighborhood of a variety of codimension 2.
On the Commuting variety of a reductive Lie algebra and other related varieties
polynomial algebra complex commuting variety desingularization Gorenstein Cohen-Macaulay rational singularities cohomology
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2012/4/18
In this note, one discusses about some varieties which are constructed analogously to the isospectral commuting varieties. These varieties are subvarieties of varieties having very simple desingulariz...
Standard Monomial Theory for desingularized Richardson varieties in the flag variety GL(n)/B
Standard Monomial Theory Richardson varieties Algebraic Geometry
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2011/9/14
Abstract: We consider a desingularization Gamma of a Richardson variety X_w^v=X_w \cap X^v in the flag variety Fl(n)=GL(n)/B, obtained as a fibre of a projection from a certain Bott-Samelson variety Z...
Differential Chow Form for Projective Differential Variety
Differential Chow form differentially homogenous prime differential ideal projective differential variety intersection theory
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2011/9/13
Abstract: In this paper, a generic intersection theorem in projective differential algebraic geometry is presented. Precisely, the intersection of an irreducible projective differential variety of dim...
Cohomology of Line Bundles on the Flag Variety for Type G_2
Cohomology of Line Bundles the Flag Variety Quantum Algebra
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2011/9/9
Abstract: In the case of an almost simple algebraic group $G$ of type $G_2$ over a field of characteristic $p>0$ we study the cohomology modules of line bundles on the flag variety for $G$. Our main r...
Closures of K-orbits in the flag variety for GL(2n)
Closures of K-orbits flag variety Representation Theory
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2011/8/23
Abstract: We characterize the O_{2n} orbits in the flag variety for GL_{2n} with rationally smooth closure via a graph-theoretic criterion. We also give a necessary pattern avoidance criterion for rat...
An improvement upon unmixed decomposition of an algebraic variety
unmixed decomposition weakly non-degenerate conditions
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2011/1/18
Decomposing an algebraic variety into irreducible or equidimensional components is a fundamental task in classical algebraic geometry and has various applications in modern geometry engineering. Sever...
Artin-Tate motivic sheaves with finite coefficients over a smooth variety
Artin-Tate motivic finite coefficients smooth variety
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2011/2/22
We propose a construction of a tensor exact category Fm X of Artin–Tate motivic sheaves with finite coefficients Z/m over a smooth variety X (over a field K of characteristic prime to m) in terms of &...
On the $p$-adic closure of a subgroup of rational points on an Abelian variety
$p$-adic closure subgroup of rational points Abelian variety
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2011/2/24
In 2007, B. Poonen (unpublished) studied the p{adic closure of a subgroup of rational points on a commutative algebraic group. More recently, J. Bellache asked the same question for the special case...
Rational cohomology of the real Coxeter toric variety of type A
Rational cohomology the real Coxeter toric
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2010/11/22
The toric variety corresponding to the Coxeter fan of type A can also be described as a De Concini-Procesi wonderful model. Using a general result of Rains which relates cohomology of real De Concini-...
Definability of the variety generated by a commutative monoid in the lattice of commutative semigroup varieties
commutative monoid lattice commutative semigroup varieties
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2010/11/11
Let M be a commutative monoid. We provide an explicit first-order formular that defines the variety generated by M in the lattice of commutative semigroup varieties.
Equivalence of the Derived Category of a Variety with a Singularity Category
Variety Singularity Category
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2010/11/11
We prove an equivalence between the derived category of a variety and the equivariant/graded singularity category of a corresponding singular variety. The equivalence also holds at the dg level.