Abstract

We show that certain semistable sheaves on the projective plane with linear Hilbert polynomial are cokernels of semistable morphisms of decomposable bundles. We exhibit certain locally closed subvarieties or open dense subsets of moduli spaces of semistable sheaves as quotients modulo nonreductive groups. These subvarieties are defined by cohomological conditions. We find isomorphisms between such subvarieties given by sending a sheaf to its dual.

Keywords

moduli spaces, nonreductive groups, sheaves on the projective plane, semistable sheaves, sheaves of dimension one

Mathematical Subject Classification

Primary: 14F05, 14L24, 00A05, 14D20, 14D22

Authors