Arithmetic hyperbolicity and a stacky Chevalley–Weil theorem.

Autor: Javanpeykar, Ariyan, Loughran, Daniel
Předmět:
Zdroj: Journal of the London Mathematical Society; Apr2021, Vol. 103 Issue 3, p846-869, 24p
Abstrakt: We prove an analogue for algebraic stacks of Hermite–Minkowski's finiteness theorem from algebraic number theory, and establish a Chevalley–Weil type theorem for integral points on stacks. As an application of our results, we prove analogues of the Shafarevich conjecture for some surfaces of general type. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index