On the moduli space of semi-stable plane sheaves with Hilbert polynomial P(m)=6m+2

Details On the moduli space of semi-stable plane sheaves with Hilbert polynomial P(m)=6m+2 On the moduli space of semi-stable plane sheaves with Hilbert polynomial P(m)=6m+2

2011-09-19

arxiv.org/abs/1109.3918v2

Mathematics

Algebraic Geometry

Scientific paper

We study the Simpson moduli space of semi-stable sheaves on the complex
projective plane that have dimension 1, multiplicity 6 and Euler characteristic
2. We describe concretely these sheaves as cokernels of morphisms of locally
free sheaves and we stratify the moduli space according to the types of sheaves
that occur.

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