Moduli of bundles on exotic del Pezzo orders
  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. 
Daniel Chan, Rajesh Kulkarni