Exact sequence of semistable vector bundles on algebraic curves

Details Exact sequence of semistable vector bundles on algebraic curves Exact sequence of semistable vector bundles on algebraic curves

1998-08-24

arxiv.org/abs/math/9808102v1

Mathematics

Algebraic Geometry

11 pages, Latex

Scientific paper

Let X be a smooth complex projective curve of genus g bigger or equal to 1. If g is bigger than 1 assume further that X is either bielliptic or with general moduli. Under a natural condition on slopes, we prove that there exists a short exact sequence of semistable vector bundles with given ranks and degrees. The importance of the paper consists of the new method adopted for the proves.

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