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Mike Roth

  1. Cup products of line bundles on homogeneous varieties and generalized PRV components of multiplicity one.

    Втр, 09/15/2009 - 11:27 — SomNambul
    Authors: Ivan Dimitrov, Mike Roth
    Subjects: Algebraic Geometry
    Abstract

    Let X=G/B be a complete flag variety, and L' and L" two line bundles on X.

    Consider the cup product map H^{d'}(X,L') x H^{d"}(X, L") --> H^{d}(X,L),
    where L=L' x L" and d=d'+d".

  2. Geometric realization of PRV components and the Littlewood-Richardson cone.

    Втр, 09/15/2009 - 11:27 — SomNambul
    Authors: Ivan Dimitrov, Mike Roth
    Subjects: Representation Theory
    Abstract

    This is a companion paper to arXiv:0909.2280. It is mostly expository and
    focuses on the representation-theoretic and combinatorial aspects of the main
    problems considered in the other article.

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