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13 February 2025
 
  » arxiv » 0712.0202

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Vector bundles with Theta divisors I: Bundles on Castelnuovo curves
Kirti Joshi ; V. B. Mehta ;
Date 3 Dec 2007
AbstractIn 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.
Source arXiv, 0712.0202
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