English

On degree zero semistable bundles over an elliptic curve

Mathematical Physics 2008-11-06 v1 High Energy Physics - Theory math.MP

Abstract

Motivated by the study of heterotic string compactifications on elliptically fibered Calabi-Yau manifolds, we present a procedure for testing semistability and identifying the decomposition type of degree zero holomorphic vector bundles over a nonsingular elliptic curve. The algorithm requires explicit knowledge of a basis of sections of an associated `twisted bundle'.

Keywords

Cite

@article{arxiv.physics/9712054,
  title  = {On degree zero semistable bundles over an elliptic curve},
  author = {C. I. Lazaroiu},
  journal= {arXiv preprint arXiv:physics/9712054},
  year   = {2008}
}

Comments

29 pages, no figures

R2 v1 2026-07-22T19:17:24.190Z