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 flat Castelnuovo degeneration of the general curve admit a theta divisor.
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Received: 8 August 2008
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Joshi, K., Mehta, V.B. Vectors bundles with theta divisors I—Bundles on Castelnuovo curves. Arch. Math. 92, 574–584 (2009). https://doi.org/10.1007/s00013-009-2973-0
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DOI: https://doi.org/10.1007/s00013-009-2973-0