Mathematics – Algebraic Geometry
Scientific paper
2009-10-28
Mathematics
Algebraic Geometry
38 pages
Scientific paper
We decompose each moduli space of semistable sheaves on the complex projective plane with support of dimension one and degree four into locally closed subvarieties, each subvariety being the good or geometric quotient of a set of morphisms of locally free sheaves modulo a reductive or a nonreductive group. We find locally free resolutions of length one of all these sheaves and describe them.
Drézet Jean-Marc
Maican Mario
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