Extensions of vector bundles and rationality of certain moduli spaces of stable bundles

Mathematics – Algebraic Geometry

Scientific paper

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Scientific paper

In this paper, it is proved that certain stable rank-3 vector bundles can be
written as extensions of line bundles and stable rank-2 bundles. As an
application, we show the rationality of certain moduli spaces of stable rank-3
bundles over the projective plane P^2.

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