On the geometry of the moduli spaces of semi-stable sheaves supported on plane quartics

By J. Drézet, Mario Maican. 2009

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We decompose each moduli space of semi-stable 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 non-reductive group. We find locally free resolutions of length one for all these sheaves and describe them.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/7284d7dd05c3e69e4482d6af2b68bc66304456f5