报告题目：    Compactification of the moduli space of minimal instantons on the Fano threefold V_4

报 告 人：     秦绪强（北卡罗莱纳大学教堂山分校）

主 持 人：      胡正宇（重庆理工大学   数学科学研究中心）

时      间：     2021年7月6日    星期二    9:30-10:30

地      点：     数学中心研讨室 （至善楼 602）

腾讯会议：    524 6865 7352

报告摘要：    Instanton bundles were first introduced on P^3 as stable rank 2 bundles E with c_1(E)=0 and H^1(E(-2))=0. Torsion free generalizations and properties of moduli spaces of instanton bundles have been widely studied. Faenzi and Kuznetsov generalized the notion of instanton bundles to other Fano threefolds. In this talk, we look at semistable sheaves of rank 2 with Chern classes c_1 = 0, c_2 = 2 and c_3 = 0 on the Fano threefold V_4 of Picard number 1, degree 4 and index 2. We show that the moduli space of such sheaves is isomorphic to the moduli space of semistable rank 2, degree 0 vector bundles on a genus 2 curve. This provides a smooth compactification of the moduli space of minimal instanton bundles on V_4.