论文标题
超分散的阿贝尔品种的产品和极化
Products and Polarizations of Super-Isolated Abelian Varieties
论文作者
论文摘要
在本文中，我们研究了超固定的亚伯利亚品种，即，在有限田的阿贝里亚品种的同质类别包含一个同构类别。本文的目的是（1）表征超分散品种的产物超级分离，并且（2）表征哪种超级分离的Abelian品种允许主要的极性化，以及有多少次极化同构。
In this paper we study super-isolated abelian varieties, that is, abelian varieties over finite fields whose isogeny class contains a single isomorphism class. The goal of this paper is to (1) characterize whether a product of super-isolated varieties is super-isolated, and (2) characterize which super-isolated abelian varieties admit principal polarizations, and how many up to polarized isomorphisms.
