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arXiv · 0712.0202

Vector bundles with Theta divisors I: Bundles on Castelnuovo curves

Kirti Joshi·V. B. Mehta
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Abstract

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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Kirti Joshi, V. B. Mehta. 2007-12-03. Vector bundles with Theta divisors I: Bundles on Castelnuovo curves. https://arxiv.org/abs/0712.0202

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