论文标题

限制性升降机的交叉点问题不太可能

Unlikely intersection problems for restricted lifts of p-th power

论文作者

Peng, Wayne

论文摘要

我在$ \ mathbb {c} _p $上定义了一种形态,如果其自然限制了$ \ mathbb {c} _p $是某种形态学的$ p $ - the p $ p $ the,则称为$ p $ th的升力。该定义从Frobenius的提升中概括。在本文中,完美的空间理论应用于Manin-Mumford Conjecutre,Mordell-Lang猜想和Tate-Volch猜想的形态。

I define a morphism on $\mathbb{C}_p$ called a lift of $p$-th power if its natural restriction to the residue field of $\mathbb{C}_p$ is a $p$-th power of some morphism. This definition generalizes from the lift of Frobenius. In this paper the theory of perfectoid spaces is applied on the morphism to the Manin-Mumford conjecutre, the Mordell-Lang conjecture and the Tate-Volch conjecture.

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