论文标题

阿贝里安差异及其周期:双方观点

Abelian differentials and their periods: the bi-algebraic point of view

论文作者

Klingler, Bruno, Lerer, Leonardo A.

论文摘要

我们从自然的双层结构的角度来研究算术和功能水平上阿贝尔差异时期的超越时期。我们以几何表征算术点,研究它们的分布,并证明在许多情况下,双方曲线是线性曲线。

We study the transcendence of periods of abelian differentials, both at the arithmetic and functional level, from the point of view of the natural bi-algebraic structure on strata of abelian differentials. We characterise geometrically the arithmetic points, study their distribution, and prove that in many cases the bi-algebraic curves are the linear ones.

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