Four-dimensional conical symplectic hypersurfaces
Four-dimensional conical symplectic hypersurfaces
复制标题
四维锥辛超曲面
DOI：
10.1016/j.jalgebra.2020.05.027
复制
发表时间：
2020
影响因子：
0.9
通讯作者：
Yamagishi Ryo
中科院分区：
文献类型：
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作者：
Yamagishi Ryo
证明了四维不可分解锥辛超曲面与已知的四维锥辛超曲面同构，即在sp2n的幂零锥上横切到Jordan型[2n−2，1，1]的幂零轨道的凸片Xn，其中n为n≥2。在吉野川撰写的附录中，利用接触Fano或分支对二维锥辛簇进行了分类。
We show that every indecomposable conical symplectic hypersurface of dimension four is isomorphic to the known one, namely, the Slodowy slice X n which is transversal to the nilpotent orbit of Jordan type [2 n− 2, 1, 1] in the nilpotent cone of sp 2 n for some n≥ 2. In the appendix written by Yoshinori Namikawa, conical symplectic varieties of dimension two are classified by using contact Fano orbifolds.