Some stable vector bundles with reducible theta divisors

Mathematics – Algebraic Geometry

Scientific paper

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7 pages, Plain TeX

Scientific paper

Let C be a curve of genus g and L a line bundle of degree 2g on C . Let M be
the kernel of the evaluation map from the trivial bundle with fibre H^0(C,L)
into L . We show that when L is general enough, the rank g bundle M and its
exterior powers are stable and admit a reducible theta divisor.

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