Brian Lawrence

most citedA counterexample to an optimistic guess about étale local systems

1 citations · 1 across the 1 of their papers we have counts for

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3 papers

math.NT2020★ 1 cited

A counterexample to an optimistic guess about étale local systems

Brian Lawrence, Shizhang Li

In p-adic Hodge theory, it is known that if a Galois representation is de Rham, then it becomes semistable after extension of the base field. Liu and Zhu asked whether a correspond…

math.NT2019

Two recent p-adic approaches towards the (effective) Mordell conjecture

Jennifer S. Balakrishnan, Alex J. Best, Francesca Bianchi +4

We give an introductory account of two recent approaches towards an effective proof of the Mordell conjecture, due to Lawrence--Venkatesh and Kim. The latter method, which is usual…

math.NT2019

On the $p$ -adic distribution of torsion values for a section of an abelian scheme

Brian Lawrence, Umberto Zannier

Let $A \to S$ be an abelian scheme over a $p$ -adic field, and let $s : S \to A$ be a section. We study the torsion locus $\bigcup \limits_{n \geq 1} s^{-1}(A[n…

A counterexample to an optimistic guess about étale local systems

Two recent p-adic approaches towards the (effective) Mordell conjecture

On the p-adic distribution of torsion values for a section of an abelian scheme

On the $p$ -adic distribution of torsion values for a section of an abelian scheme