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Nonrational Varieties with Unirational Parametrizations of Coprime Degrees
主讲人: Xun Yu (Tianjin Univeristy) 对照阅读
活动时间: 从 2025-11-27 15:00 到 16:15 继续了解
场地: Room 77201, Jingchunyuan 78, BICMR 延伸阅读
Abstract: 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 Song Yang and Zigang Zhu.
