L. A. Betts

activity

20142025

most citedThe local theory of unipotent Kummer maps and refined Selmer schemes

12 citations · 19 across the 13 of their papers we have counts for

collaborators

Showing 2022Show all

3 papers · 1 filter

math.NT2022

Bounds on the Chabauty--Kim Locus of Hyperbolic Curves

L. Alexander Betts, David Corwin, Marius Leonhardt

Conditionally on the Tate--Shafarevich and Bloch--Kato Conjectures, we give an explicit upper bound on the size of the $p$ -adic Chabauty--Kim locus, and hence on the number of rati…

math.NT2022★ 1 cited

Galois sections and $p$ -adic period mappings

L. Alexander Betts, Jakob Stix

Let $K$ be a number field not containing a CM subfield. For any smooth projective curve $Y / K$ of genus $\geq 2$ , we prove that the image of the "Selmer" part of Grothendieck's secti…

math.AG2022

Local constancy of pro-unipotent Kummer maps

L. Alexander Betts

It is a theorem of Kim-Tamagawa that the $Q_{ℓ}$ -pro-unipotent Kummer map associated to a smooth projective curve $Y$ over a finite extension of $Q_{p}$ is locally c…

Bounds on the Chabauty--Kim Locus of Hyperbolic Curves

Galois sections and p-adic period mappings

Local constancy of pro-unipotent Kummer maps

Galois sections and $p$ -adic period mappings