One-cycles on Gushel-Mukai fourfolds and the Beauville-Voisin filtration

作     者：Ruxuan Zhang 

作者机构：School of Mathematical SciencesFudan UniversityShanghai 200438China 

出 版 物：《Science China Mathematics》 (中国科学（数学）（英文版）)

年 卷 期：2024年第67卷第4期

页      面：713-732页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：The author thanks Zhiyuan Li  Fei Si and Qizheng Yin for their helpful comments 

主　　题：Beauville-Voisin ltration irreducible holomorphic symplectic variety Gushel-Mukai fourfold 

摘      要：We prove that the invariant locus of the involution associated with a general double EisenbudPopescu-Walter(EPW)sextic is a constant cycle surface and introduce a filtration on CH1of a Gushel-Mukai *** verify the sheaf/cycle correspondence for sheaves supported on low-degree rational curves,parallel to the case of cubic fourfolds of Shen-Yin’s work.