报告题目:Nonrational varieties with unirational parametrizations of coprime degrees

报告时间：2026年8月5日10：00-11：00

报告地点：理工楼631

摘要：We show that there exists a 2-dimensional family of smooth cubic threefolds admitting unirational parametrizations of coprime degrees. This together with Clemens--Griffiths' work solves the long standing open problem whether there exists a nonrational variety with unirational parametrizations of coprime degrees. Our proof uses a new approach, called the Noether--Cremona method, for determining the rationality of quotients of hypersurfaces. This is a joint work with Xun Yu and Zigang Zhu.

报告人简介

杨松，天津大学应用数学中心副教授；研究领域为非交换代数几何、代数几何、复几何。