Moduli of bundles on exotic del Pezzo orders

2008/10/01 by Daniel Chan, Chan, Daniel, Rajesh Kulkarni +1
Mathematics · #14D20 #14J60 #16H05 #Algebraic Geometry (math.AG) #FOS: Mathematics #Rings and Algebras (math.RA) #math.AG #math.RA #msc:14D20 #msc:14J60 #msc:16H05

paper · pdf · doi:10.48550/arxiv.0810.0067

arxiv created 2008/10/01 · arxiv updated 2009/12/01

Abstract

Maximal orders of rank 4 on the projective plane, ramified on a smooth plane quartic are examples of exotic del Pezzo orders. We compute the possible Chern classes for line bundles on such orders and show the moduli space of line bundles with minimal second Chern class is either a point or a smooth genus two curve.

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