Sections of homogeneous bundles

Details Sections of homogeneous bundles Sections of homogeneous bundles

2009-07-27

arxiv.org/abs/0907.4590v1

Mathematics

Algebraic Geometry

part of the author's PhD thesis

Scientific paper

In this work we give a method for computing sections of homogeneous vector
bundles on any rational homogeneous variety G/P of type ADE. Our main tool is
the equivalence of categories between homogeneous vector bundles on G/P and
finite dimensional representations of a given quiver with relations. Our result
generalizes the work of Ottaviani and Rubei [OR06].

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