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

作　　者：Ruxuan Zhang 

机构地区：[1]School of Mathematical Sciences,Fudan University,Shanghai 200438,China

出　　处：《Science China Mathematics》2024年第4期713-732,共20页中国科学（数学）（英文版）

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 fourfold.We 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.

关 键 词：Beauville-Voisin ltration irreducible holomorphic symplectic variety Gushel-Mukai fourfold 

分 类 号：O157.5[理学—数学]