On the moduli space of semi-stable plane sheaves with Euler characteristic one and supported on sextic curves

Details On the moduli space of semi-stable plane sheaves with Euler characteristic one and supported on sextic curves On the moduli space of semi-stable plane sheaves with Euler characteristic one and supported on sextic curves

2011-04-30

arxiv.org/abs/1105.0112v3

Mathematics

Algebraic Geometry

Scientific paper

We study the moduli space of Gieseker semi-stable sheaves on the complex projective plane supported on sextic curves and having Euler characteristic one. We determine locally free resolutions of length one for all such sheaves. We decompose the moduli space into strata which occur naturally as quotients modulo actions of certain algebraic groups. In some cases we give concrete geometric descriptions of the strata.

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