论文标题

Albanese地图和基本品种,具有许多合理点的功能领域

Albanese maps and fundamental groups of varieties with many rational points over function fields

论文作者

Javanpeykar, Ariyan, Rousseau, Erwan

论文摘要

我们研究了Albanese Map的性质和复杂的投影品种的基本组,在某些功能领域具有许多合理点,并证明了这种品种的基本组的每个线性商实际上都是Abelian,其Albanese Map是分支的,具有相连的纤维,并且没有多个纤维。

We investigate properties of the Albanese map and the fundamental group of a complex projective variety with many rational points over some function field, and prove that every linear quotient of the fundamental group of such a variety is virtually abelian, as well as that its Albanese map is surjective, has connected fibres, and has no multiple fibres in codimension one.

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