搜索结果: 1-15 共查到“理学 Flag”相关记录26条 . 查询时间(0.015 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Borel—Wei—Bott theorem for Derived Flag Schemes
派生 标志方案 博雷尔-魏-博特定理
font style='font-size:12px;'>
2023/4/13
The framework of derived algebraic geometry (DAG), developed by Toen-Vezzosi, Lurie and many others, allows us to extend Grothendieck’s theory of flag schemes of sheaves to the cases of complexes. In ...
THE PUZZLE CONJECTURE FOR THE COHOMOLOGY OF TWO-STEP FLAG MANIFOLDS
PUZZLE CONJECTURE TWO-STEP FLAG MANIFOLDS
font style='font-size:12px;'>
2015/12/17
We prove a conjecture of Knutson asserting that the Schubert
structure constants of the cohomology ring of a two-step flag variety are equal
to the number of puzzles with specified borde...
Arithmetic Intersection Theory on Flag Varieties
Flag Varieties Arithmetic Intersection
font style='font-size:12px;'>
2015/12/17
Let F be the complete °ag variety over SpecZ with the tautological
ˉltration 0 ½ E1 ½ E2 ½ ￠ ￠ ￠ ½ En = E of the trivial bundle E of rank
n over F. The trivial hermitian metric o...
SCHUBERT POLYNOMIALS AND ARAKELOV THEORY OF SYMPLECTIC FLAG VARIETIES
SCHUBERT POLYNOMIALS ARAKELOV THEORY
font style='font-size:12px;'>
2015/12/17
Let X = Sp2n/B the flag variety of the symplectic group. We
propose a theory of combinatorially explicit Schubert polynomials which represent the Schubert classes in the Borel presentation of t...
SCHUBERT POLYNOMIALS AND ARAKELOV THEORY OF ORTHOGONAL FLAG VARIETIES
SCHUBERT POLYNOMIALS ARAKELOV THEORY
font style='font-size:12px;'>
2015/12/17
We propose a theory of combinatorially explicit Schubert polynomials which represent the Schubert classes in the Borel presentation of the
cohomology ring of the orthogonal flag variety X = SON...
Affine Deligne-Lusztig varieties in affine flag varieties
Affine Deligne-Lusztig flag varieties
font style='font-size:12px;'>
2015/9/29
This paper studies ane Deligne-Lusztig varieties in the ane
ag manifold of a split
group. Among other things, it proves emptiness for certain of these varieties, relates
some of them to those fo...
INEQUALITIES FOR THE H-AND FLAG H-VECTORS OF GEOMETRIC LATTICES
H-AND FLAG H-VECTORS GEOMETRIC LATTICES
font style='font-size:12px;'>
2015/8/25
We prove that the order complex of a geometric lattice has a convex ear decomposition. As a consequence, if ∆(L) is the order complex of a rank (r +1) geometric lattice L, then the for all i ≤ r...
Sharp vanishing thresholds for cohomology of random flag complexes
Sharp vanishing thresholds cohomology random flag complexes Algebraic Topology
font style='font-size:12px;'>
2012/7/11
We exhibit a sharp threshold for vanishing of rational cohomology in random flag complexes, providing a generalization of the Erd\H{o}s-R\'enyi theorem. As a corollary, almost all d-dimensional flag c...
On the classification of homogeneous Einstein metrics on generalized flag manifolds with $b_2(M)=1$
Homogeneous Einstein metric flag manifold second Betti number finiteness conjecture twistor fibration
font style='font-size:12px;'>
2012/6/25
We study homogeneous Einstein metrics for a class of compact homogeneous spaces, namely generalized flag manifolds $G/H$ with second Betti number $b_{2}(G/H)=1$. There are 33 such manifolds which have...
Classical aspects of quantum cohomology of generalized flag varieties
Gromov-Witten invariants Quantum cohomology Flag varieties
font style='font-size:12px;'>
2011/9/20
Abstract: We show that various genus zero Gromov-Witten invariants for flag varieties representing different homology classes are indeed the same. In particular, many of them are classical intersectio...
Standard Monomial Theory for desingularized Richardson varieties in the flag variety GL(n)/B
Standard Monomial Theory Richardson varieties Algebraic Geometry
font style='font-size:12px;'>
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...
Cohomology of Line Bundles on the Flag Variety for Type G_2
Cohomology of Line Bundles the Flag Variety Quantum Algebra
font style='font-size:12px;'>
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
font style='font-size:12px;'>
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...
Shells of twisted flag varieties and non-decomposibility of the Rost invariant
Shells of twisted flag varieties non-decomposibility of the Rost invariant
font style='font-size:12px;'>
2011/1/20
In the present article we introduce two new general methods to compute the Chow motives of homogeneous varieties.
Prolongation on regular infinitesimal flag manifolds
Overdetermined systems prolongation filtered manifolds weighted jet bundles
font style='font-size:12px;'>
2011/1/19
Regular infinitesimal flag structures are geometric structures, which occur as underlying structures of parabolic geometries. Among these structures we have for instance conformal structures, contact ...