A note on the intersection multiplicity
A Pieri-Chevalley formula in the K-theory of a -bundle.
A Pieri-type formula for even orthogonal Grassmannians
We study the cohomology ring of the Grassmannian G of isotropic n-subspaces of a complex 2m-dimensional vector space, endowed with a nondegenerate orthogonal form (here 1 ≤ n < m). We state and prove a formula giving the Schubert class decomposition of the cohomology products in H*(G) of general Schubert classes by "special Schubert classes", i.e. the Chern classes of the dual of the tautological vector bundle of rank n on G. We discuss some related properties of reduced decompositions of "barred...
A Pieri-type theorem for Lagrangian and odd Orthogonal Grassmannians.
A propos d'une conjecture arithmétique sur le groupe de Chow d'une surface rationnelle
A recipe for finding open subsets of vector spaces with a good quotient
A refinement of the PRV conjecture.
A remark on moduli spaces of complete intersections.
A resolution of the square of a determinantal ideal associated to a symmetric matrix
A restriction theorem and the Poincare series for U-invariants.
A series of smooth irregular varieties in projective space
A Short Proof of the Kemp Vanishing Theorem.
A simple counterexample to Kouchnirenko's conjecture.
A simultaneous Frobenius splitting for closures of conjugacy classes of nilpotent matrices
A splitting theorem for the Kupka component of a foliation of . Addendum to a paper by O. Calvo-Andrade and N. Soares
Here we show that a Kupka component of a codimension 1 singular foliation of with not a square is a complete intersection. The result implies the existence of a meromorphic first integral of .
A splitting theorem for the Kupka component of a foliation of . Addendum to an addendum to a paper by Calvo-Andrade and Soares
Here we show that a Kupka component of a codimension 1 singular foliation of is a complete intersection. The result implies the existence of a meromorphic first integral of . The result was previously known if was assumed to be not a square.
A Stratification of the Hilbert Scheme of Points in the Projective Plane.
A triple intersection theorem for the varieties SO(n)/Pd
We study the Schubert calculus on the space of d-dimensional linear subspaces of a smooth n-dimensional quadric lying in the projective space. Following Hodge and Pedoe we develop the intersection theory of this space in a purely combinatorial manner. We prove in particular that if a triple intersection of Schubert cells on this space is nonempty then a certain combinatorial relation holds among the Schubert symbols involved, similar to the classical one. We also show when these necessary conditions...
A vanishing theorem for Dolbeault cohomology of homogeneous vector bundles.
A Vanishing Theorem for Group Compactifications.