English

Sections of homogeneous bundles

Algebraic Geometry 2013-10-15 v1

Abstract

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].

Keywords

Cite

@article{arxiv.0907.4590,
  title  = {Sections of homogeneous bundles},
  author = {Ada Boralevi},
  journal= {arXiv preprint arXiv:0907.4590},
  year   = {2013}
}

Comments

part of the author's PhD thesis

R2 v1 2026-06-21T13:29:19.251Z