学术报告
Griffiths Groups and Chow Groups-Xuanyu PAN博士(马普所)
题目:Griffiths Groups and Chow Groups
报告人: Xuanyu PAN博士(马普所)
摘要:In 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 give a positive answer to a question of Professor Voisin in some cases. More precisely, we show 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 the Tsen-Lang theorem, the moduli space of stable maps, the bend-and-break theorem and the geometry of quadric surfaces in a hypersurface.
Reference: 2-Cycles on Higher Fano Hypersurfaces (Arxiv)
时间:2016年9月28日(周三)2:30-3:30
地点:首都师大北二区教学楼509教室
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