On two Notions of Semistability

Mathematics – Algebraic Geometry

Scientific paper

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Version 2 has three sections added. To appear in the Pacific Journal of Mathematics

Scientific paper

We show that certain semistable sheaves on the projective plane with linear
Hilbert polynomial are cokernels of semistable morphisms of decomposable
sheaves.We exhibit certain locally closed subvarieties of moduli spaces of
semistable sheaves as quotients modulo nonreductive groups.

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