English

On two Notions of Semistability

Algebraic Geometry 2013-11-14 v2

Abstract

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.

Keywords

Cite

@article{arxiv.math/0703859,
  title  = {On two Notions of Semistability},
  author = {Mario Maican},
  journal= {arXiv preprint arXiv:math/0703859},
  year   = {2013}
}

Comments

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

R2 v1 2026-07-22T17:53:24.494Z