On degree zero semistable bundles over an elliptic curve

Details On degree zero semistable bundles over an elliptic curve On degree zero semistable bundles over an elliptic curve

1997-12-30

arxiv.org/abs/physics/9712054v1

Physics

Mathematical Physics

29 pages, no figures

Scientific paper

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'.

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