English

Vector Bundles over Elliptic Fibrations

alg-geom 2008-02-03 v1 High Energy Physics - Theory Algebraic Geometry

Abstract

This paper gives various methods for constructing vector bundles over elliptic curves and more generally over families of elliptic curves. We construct universal families over generalized elliptic curves via spectral cover methods and also by extensions, and then give a relative version of the construction in families. We give various examples and make Chern class computations.

Keywords

Cite

@article{arxiv.alg-geom/9709029,
  title  = {Vector Bundles over Elliptic Fibrations},
  author = {Robert Friedman and John W. Morgan and Edward Witten},
  journal= {arXiv preprint arXiv:alg-geom/9709029},
  year   = {2008}
}

Comments

101 pages, AMS-TeX, amsppt style