3 citations · 6 across the 10 of their papers we have counts for
Showing math.NTShow all
3 papers · 1 filter
math.NT2024
Local heights on hyperelliptic curves and quadratic Chabauty
L. Alexander Betts, Juanita Duque-Rosero, Sachi Hashimoto +1
Quadratic Chabauty is a -adic method for determining rational points on curves. Local heights are arithmetic invariants used in the quadratic Chabauty method. We present an algo…
math.NT2022★ 3 cited
Geometric quadratic Chabauty and -adic heights
Juanita Duque-Rosero, Sachi Hashimoto, Pim Spelier
Let be a curve of genus over whose Jacobian has Mordell--Weil rank and Néron--Severi rank . When , the geometric quadratic Chabauty m…
math.NT2021★ 1 cited
A geometric linear Chabauty comparison theorem
Sachi Hashimoto, Pim Spelier
The Chabauty-Coleman method is a -adic method for finding all rational points on curves of genus whose Jacobians have Mordell-Weil rank . Recently, Edixhoven and Lido…