论文标题
亚伯杆系统和Riemann-Schottky类型系统
Abelian pole systems and Riemann-Schottky type systems
论文作者
论文摘要
在这项关于雅各布人和非洲jacobians的特征和prys品种的作品的调查中在基本孤子层次结构的椭圆解理论中产生的极系统。我们还在这个方向上介绍了有关曲线雅各布人与相关性的表征的最新结果，这些曲线是由具有对称性的二维可整合层次结构的理论所激发的。
In this survey of works on a characterization of Jacobians and Prym varieties among indecomposable principally polarized abelian varieties via the soliton theory we focus on a certain circle of ideas and methods which show that the characterization of Jacobians as ppav whose Kummer variety admits a trisecant line and the Pryms as ppav whose Kummer variety admits a pair of symmetric quadrisecants can be seen as an abelian version of pole systems arising in the theory of elliptic solutions to the basic soliton hierarchies. We present also recent results in this direction on the characterization of Jacobians of curves with involution, which were motivated by the theory of two-dimensional integrable hierarchies with symmetries.
