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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
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
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
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...
Classical aspects of quantum cohomology of generalized flag varieties
Gromov-Witten invariants Quantum cohomology Flag varieties
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...
Shells of twisted flag varieties and non-decomposibility of the Rost invariant
Shells of twisted flag varieties non-decomposibility of the Rost invariant
2011/1/20
In the present article we introduce two new general methods to compute the Chow motives of homogeneous varieties.
Double flag varieties for a symmetric pair and finiteness of orbits
Double flag varieties symmetric pair finiteness of orbits
2010/12/14
Let G be a reductive algebraic group over the complex number filed, and K = G be the fixed points of an involutive automorphism of G so that (G,K) is a symmetric pair.