The period map of abelian surfaces
The period map of abelian surfaces
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阿贝尔曲面的周期图
DOI：
10.1090/s0002-9947-02-03011-8
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发表时间：
1978
期刊：
影响因子：
--
通讯作者：
T. Shioda
中科院分区：
文献类型：
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作者：
T. Shioda
我们发现一般三次曲面的Hessian曲面的双有理自同构群的生成元。它的非奇异极小模型是一个秩为16的Picard格的K3曲面，它自然嵌入到秩为26的偶幺模格中。生成器与一些Leech根的反射有关。类似的观察是第一次在案件的四次库默表面的工作近藤。我们将解释我们的发电机是如何相关的一般四次库默表面是一个特殊的Hessian表面的双有理同构的双有理自同构群的发电机。引用
We find generators of the group of birational automorphisms of the Hessian surface of a general cubic surface. Its nonsingular minimal model is a K3 surface with the Picard lattice of rank 16 which embeds naturally in the even unimodular latticeof rank 26 and signature. The generators are related to reflections with respect to some Leech roots. A similar observation was made first in the case of quartic Kummer surfaces in the work of Kondō. We shall explain how our generators are related to the generators of the group of birational automorphisms of a general quartic Kummer surface which is birationally isomorphic to a special Hessian surface. References