Vector Bundles over Elliptic Fibrations

Details Vector Bundles over Elliptic Fibrations Vector Bundles over Elliptic Fibrations

1997-09-26

arxiv.org/abs/alg-geom/9709029v1

Physics

High Energy Physics

High Energy Physics - Theory

101 pages, AMS-TeX, amsppt style

Scientific paper

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.

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