摘要
Let Md be the moduli space of stable sheaves on P2with Hilbert polynomial dm+1.In this paper,we determine the effective and the nef cone of the space Md by natural geometric divisors.Main idea is to use the wall-crossing on the space of Bridgeland stability conditions and to compute the intersection numbers of divisors with curves by using the Grothendieck-Riemann-Roch theorem.We also present the stable base locus decomposition of the space M6.As a byproduct,we obtain the Betti numbers of the moduli spaces,which confirm the prediction in physics.
Let Md be the moduli space of stable sheaves on p2 with Hilbert polynomial dm-＋1. In this paper, we determine the effective and the nef cone of the space Md by natural geometric divisors. Main idea is to use the wall-crossing on the space of Bridgeland stability conditions and to compute the intersection numbers of divisors with curves by using the Grothendieck-Riemann-Roch theorem. We also present the stable base locus decomposition of the space M6. As a byproduct, we obtain the Betti numbers of the moduli spaces, which confirm the prediction in physics.
基金
supported by TJ Park Science Fellowship of POSCO TJ Park Foundation and National Research Foundation of Korea(Grant No.2013R1A1A2006037)
