Nef and Effective Cones on the Moduli Space of Torsion Sheaves on the Projective Plane

2013/05/07 by Woolf, Matthew
#14E30 14D20 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1305.1465

Abstract

In this paper, we study the divisor theory of the Simpson moduli space of semistable sheaves of dimension 1 on the projective plane. We prove that these spaces are all Mori dream spaces, and calculate their nef cones. We also study the effective cones of these spaces for most choices of numerical invariants. As a consequence, we work out precisely when two such spaces are isomorphic.

Related

• The effective cone of the moduli space of sheaves on the plane
• The geometry of the moduli space of one-dimensional sheaves
• On the moduli space of semi-stable plane sheaves with Hilbert polynomial\n P(m)=6m+2
• Moduli Spaces of Coherent Sheaves on Projective Deligne-Mumford Stacks over Algebraic Spaces
• Boundedness of semistable sheaves