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

2012/02/01 by Maican, Mario
#14D20 #14D22 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1202.0065

Abstract

We classify all Gieseker semi-stable sheaves on the complex projective plane that have dimension 1, multiplicity 6 and Euler characteristic 3. We show that their moduli space is birational to the blow-up at a special point of a certain moduli space of semi-stable Kronecker modules.

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