50 citations · 79 across the 15 of their papers we have counts for
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math.NT2019★ 12 cited
The local theory of unipotent Kummer maps and refined Selmer schemes
L. Alexander Betts, Netan Dogra
We study the Galois action on paths in the -pro-unipotent étale fundamental groupoid of a hyperbolic curve over a -adic field with . We prove an…
math.NT2019
Quadratic Chabauty for modular curves and modular forms of rank one
Netan Dogra, Samuel Le Fourn
In this paper, we provide refined sufficient conditions for the quadratic Chabauty method to produce a finite set of points, with the conditions on the rank of the Jacobian replace…
math.NT2019★ 1 cited
Unlikely intersections and the Chabauty-Kim method over number fields
Netan Dogra
The Chabauty--Kim method is a tool for finding the integral or rational points on varieties over number fields via certain transcendental -adic analytic functions arising from c…