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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 574-584 |
| Number of pages | 11 |
| Journal | Archiv der Mathematik |
| Volume | 92 |
| Issue number | 6 |
| DOIs | |
| State | Published - Jun 2009 |
Keywords
- Nodal curves
- Semistable vector bundles
- Theta divisors
- Vector bundles
ASJC Scopus subject areas
- General Mathematics
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