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Mass Extinctions Remove Species But Not Ecological Variety（图）
Mass Extinctions Remove Species Ecological Variety
2018/1/31
Sixty-five million years ago, clouds of ash choked the skies over Earth. Dinosaurs, along with about half of all the species on Earth, staggered and died.
But in the seas, a colorful population of ma...
The de Rham-Witt and Zp-cohomologies of an algebraic variety
algebraic variety Zp-cohomologies
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
2015/9/29
We compute the Buhler-Reichstein essential dimension of a complex abelian variety using Kummer theory.
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
2015/8/26
A Fatou–Bieberbach domain avoiding a neighborhood of a variety of codimension 2.
Flaminia, a self-incompatible peach variety: Short communication
pollinators peach varieties self-fertilization
2015/1/20
This study showed that the peach variety Flaminia is self-incompatible in Northern Greece, and it produces fruits only after cross fertilization. Among the peach varieties Doukessa, Fayette, Late Naou...
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
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
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
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
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
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
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
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
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
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-...