3 citations · 8 across the 13 of their papers we have counts for
14 papers
Exceptional points on Atkin--Lehner quotients
Eran Assaf, Sachi Hashimoto, Ari Shnidman
We study the rational points on the star curve , the quotient of the classical modular curve by the full group of Atkin--Lehner involutions, for s…
Equationless quadratic Chabauty for non-split Cartan modular curves
Sachi Hashimoto, Guido Maria Lido, Davide Lombardo +2
The aim of this article is to describe an equationless method for determining the rational points on the non-split Cartan curve of prime level .…
Hyperelliptic Atkin-Lehner quotients of Shimura curves
Eran Assaf, Sachi Hashimoto
We work towards completely classifying all hyperelliptic Atkin-Lehner quotients of Shimura curves with level coprime to and , extending, on the…
Rational points on modular curves: parameterization and geometric explanations
Maarten Derickx, Sachi Hashimoto, Filip Najman +1
We show that, conditional on Zywina's effective version of the Serre uniformity conjecture, there is a natural way to parameterize non-CM -rational points on all modula…
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…
Self-dual matroids from canonical curves
Alheydis Geiger, Sachi Hashimoto, Bernd Sturmfels +1
Self-dual configurations of 2n points in a projective space of dimension n-1 were studied by Coble, Dolgachev-Ortland, and Eisenbud-Popescu. We examine the self-dual matroids and s…