论文标题

生物元素和准双性表面的自动型组方案

Automorphism group schemes of bielliptic and quasi-bielliptic surfaces

论文作者

Martin, Gebhard

论文摘要

Bielliptic和Quasi-bielliptic表面构成了Kodaira尺寸的四类平滑投射表面之一$ 0 $。在本文中,我们在代数封闭的任意特征的代数封闭领域确定了这些表面的自动形态方案,概括了贝内特和米兰达的工作。我们还发现,在特征性$ 0 $中的自动形态群体的分类中缺少一些案例。

Bielliptic and quasi-bielliptic surfaces form one of the four classes of minimal smooth projective surfaces of Kodaira dimension $0$. In this article, we determine the automorphism schemes of these surfaces over algebraically closed fields of arbitrary characteristic, generalizing work of Bennett and Miranda over the complex numbers; we also find some cases that are missing from the classification of automorphism groups of bielliptic surfaces in characteristic $0$.

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