中科院数学与系统科学研究院
数学研究所
代数几何研讨班
报告人：王隽永 博士（华罗庚数学中心）
题 目：On the structure of semi-Fano varieties
时 间：2020.12.18（星期五），09:30-10:30
地 点：晨兴 410室
摘 要：A semi-Fano variety is a normal projective variety X admitting a klt boundary \Delta such that –(K_X+\Delta) is nef. It is expected that the Albanese map and the MRC fibration of X induce a decomposition of its universal cover into a product of C^q by a klt projective variety with trivial canonical divisor and a rationally connected variety. The interest of studying the strucutre of these varieties arises from the classical Beauville-Bogomolov decomposition theorem and from structure theorems on manifolds with nonnegative curvature such as works of Mori, Siu-Yau, Mok, Campana-Peternell /Demailly-Peternell-Schneider, etc.. In this talk, I will talk about our recent works (one by myself and the other by a joint work with Shin-ichi Matsumura) in this problem, which establish the strucutre theorem of the Albanese maps and the MRC fibrations of semi-Fano varieties.
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