中科院数学与系统科学研究院
数学研究所
学术报告会
报告人：潘宣余 （Washington University in St. Louis）
题 目：Griffiths groups and Chow groups
时 间：01.04 (星期一) ,10:30—11:30
地 点：数学院南楼N913室
摘 要：
In this talk, I will talk about my work on the Griffiths groups of Fano varieties of lines and the second Chow groups of "3-Fano" hypersurfaces. In fact, we answer a question of Professor Voisin in some cases.
More precisely, we prove that the first Griffiths groups of Fano varieties of lines of "2-Fano" hypersurfaces are trivial and the second Chow groups of "3-Fano" hypersurfaces are torsion-free and of rank one. The proof is based on Tsen-Lang theorem, moduli space of stable maps, bend-and-break theorem and the geometry of quadric surfaces in a hypersurface.
Reference: 2-Cycles on Higher Fano Hypersurfaces (Arxiv)