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

Abstract

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.

References in corpus (1)

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

Cited by in corpus (1)

• On the geometry of the moduli space of semi-stable plane sheaves with Hilbert polynomial P(m)=6m+3