本刊英文版2024年67卷第4期(713–950)摘要(英文)  

出　　处：《中国科学：数学》2024年第4期I0001-I0004,共4页Scientia Sinica：Mathematica

摘　　要：One-cycles on Gushel-Mukai fourfolds and the Beauville-Voisin filtration Ruxuan Zhang Abstract We prove that the invariant locus of the involution associated with a general double Eisenbud-Popescu-Walter(EPW)sextic is a constant cycle surface and introduce a filtration on CHi of 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.Keywords Beauville-Voisin filtration,irreducible holomorphic symplectic variety,Gushel-Mukai fourfold MSC(20201)4J42,14C15 https://doi.org/10.1007/s11425-022-2119-8.

关 键 词：INVARIANT CYCLE IRREDUCIBLE 

分 类 号：O1-5[理学—数学] Z89[理学—基础数学]