Eigenvalues of sums of hermitian matrices
Elliptic curves on spinor varieties
We prove irreducibility of the scheme of morphisms, of degree large enough, from a smooth elliptic curve to spinor varieties. We give an explicit bound on the degree.
Epsilon systems on geometric crystals of type .
Equations defining Schubert varieties and Frobenius splittings of diagonals
Equivalence classes of the 3rd Grassman space over a 5-dimensional vector space.
Equivariant K-theory of flag varieties revisited and related results
We obtain several several results on the multiplicative structure constants of the T-equivariant Grothendieck ring of the flag variety G/B. We do this by lifting the classes of the structure sheaves of Schubert varieties in to R(T) ⊗ R(T), where R(T) denotes the representation ring of the torus T. We further apply our results to describe the multiplicative structure constants of where X denotes the wonderful compactification of the adjoint group of G, in terms of the structure constants of...
Examples of non-ample normal bundles
Exceptional collections on isotropic Grassmannians
We introduce a new construction of exceptional objects in the derived category of coherent sheaves on a compact homogeneous space of a semisimple algebraic group and show that it produces exceptional collections of the length equal to the rank of the Grothendieck group on homogeneous spaces of all classical groups.
Existence, decomposition, and limits of certain Weierstrass points.
Experimentation and conjectures in the real Schubert calculus for flag manifolds.
Extending Meromorphic Functions on a Grassmannian Variety.