English

Quantum Kostka and the rank one problem for $\mathfrak{sl}_{2m}$

Algebraic Geometry 2015-08-28 v1

Abstract

We give necessary and sufficient conditions to specify vector bundles of conformal blocks for sl2m\mathfrak{sl}_{2m} with rectangular weights which have ranks zero, one, and larger than one. First Chern classes of rank one bundles are shown to determine a finitely generated subcone of the nef cone.

Keywords

Cite

@article{arxiv.1508.06952,
  title  = {Quantum Kostka and the rank one problem for $\mathfrak{sl}_{2m}$},
  author = {Natalie Hobson},
  journal= {arXiv preprint arXiv:1508.06952},
  year   = {2015}
}

Comments

19 pages, 12 figures

R2 v1 2026-06-22T10:43:07.283Z