论文标题
在Gushel-Mukai四倍和Beauville-Voisin过滤上的单周期
One-cycles on Gushel-Mukai fourfolds and the Beauville-Voisin filtration
论文作者
论文摘要
我们证明,与一般的双EPW六偏离相关的互动的不变基因座是一个恒定的表面,并在Gushel-Mukai四倍的$ \ ch_1 $上引入过滤。我们验证与立方四倍情况平行的低度理性曲线支撑的滑轮的捆出/循环对应关系。
We prove that the invariant locus of the involution associated to a general double EPW sextic is a constant surface and introduce a filtration on $\CH_1$ of a Gushel-Mukai fourfold. We verify the sheaf/cycle correspondence for sheaves supported on low degree rational curves, parallel to the cubic fourfolds case.