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

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

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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 CH1 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.

Beauville-Voisin filtrationirreducible holomorphic symplectic varietyGushel-Mukai fourfold

Ruxuan Zhang

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School of Mathematical Sciences,Fudan University,Shanghai 200438,China

2024

中国科学:数学(英文版)
中国科学院

中国科学:数学(英文版)

CSTPCD
影响因子:0.36
ISSN:1674-7283
年,卷(期):2024.67(4)
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