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Moduli of bundles on exotic del Pezzo orders
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 133, Number 1, February 2011
- pp. 273-293
- 10.1353/ajm.2011.0002
- Article
- Additional Information
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We study bundles on rank 4 maximal orders on ${\Bbb P}^2$ ramified on a
smooth plane quartic. We compute the possible Chern classes for line
bundles. Our main result is that the moduli space of line bundles with
minimal second Chern class is either a point or a smooth genus two curve.