Vector bundles with Theta divisors I: Bundles on Castelnuovo curves

Details Vector bundles with Theta divisors I: Bundles on Castelnuovo curves Vector bundles with Theta divisors I: Bundles on Castelnuovo curves

2007-12-03

arxiv.org/abs/0712.0202v1

Mathematics

Algebraic Geometry

10 pages

Scientific paper

In this paper we show that semistable vector bundles on a Castelnuovo curve
of genus g >= 2 have theta divisors. As a corollary, we deduce that semistable
vector bundles on a smooth, general curve of genus g >= 2 which extend to
semistable vector bundles on any Castelnuovo degeneration of the general curve
admit a theta divisor.

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