Cubic threefolds with an involution and their intermediate Jacobians

：张正（上海科技大学）
：2023-06-21 09:00
：海韵园实验楼111

报告人：张正（上海科技大学）

时  间：2023年6月21日上午9:00

地  点：海韵园实验楼111

内容摘要:

We study the moduli space of cubic threefolds admitting an involution via the period map sending such a cubic threefold to the invariant/anti-invariant part of the intermediate Jacobian.  Our main result is global Torelli holds for the period map. Key ingredients of the proof include a description of the invariant/anti-invariant part of the intermediate Jacobian as a Prym variety and a detailed study of certain positive dimensional fibers of the corresponding Prym map. The proof also relies on the results of Donagi-Smith, Ikeda and Naranjo-Ortega on related Prym maps. This is joint work with S. Casalaina-Martin and L. Marquand.

个人简介：

张正，上海科技大学助理教授。他于2014年12月在美国石溪大学获得博士学位，主要研究领域是代数几何，特别是霍奇理论在代数几何中的应用。已有多篇论文发表在《Adv. Math.》，《Algebr. Geom.》，《J. Lond. Math. Soc.》，《IMRN》等杂志。

联系人：余世霖