论文标题
在Mukai四倍的属属$ g \ ge7 $上仿生锥的灵活性
Flexibility of Affine cones over Mukai fourfolds of genus $g\ge7$
论文作者
论文摘要
我们表明,一般的Fano-Mukai属offine锥四倍的属$ g = 7 $,$ 8 $和$ 9 $是灵活的。同等地,特殊的自动形态组在这种仿锥上存在着无限的传递作用。特别是,任何Mukai四倍的属$ 7,8 $和$ 9 $都是$ \ bbb a^2 $ cylindrical。
We show that the affine cones over a general Fano-Mukai fourfold of genus $g=7$, $8$ and $9$ are flexible. Equivalently, there is an infinitely transitive action of the special automorphism group on such affine cones. In particular, any Mukai fourfold of genus $7,8$ and $9$ is $\Bbb A^2$-cylindrical.