Jiali Yan

most citedComputing the Cassels-Tate pairing on the 2-Selmer group of a genus 2 Jacobian

2 citations · 2 across the 3 of their papers we have counts for

collaborators

Showing math.NTShow all

3 papers · 1 filter

math.NT2023★ 2 cited

Computing the Cassels-Tate pairing on the 2-Selmer group of a genus 2 Jacobian

Tom Fisher, Jiali Yan

We describe a method for computing the Cassels-Tate pairing on the 2-Selmer group of the Jacobian of a genus 2 curve. This can be used to improve the upper bound coming from 2-desc…

math.NT2021

Computing the Cassels-Tate Pairing for Genus Two Jacobians with Rational Two Torsion Points

Jiali Yan

In this paper, we give an explicit formula as well as a practical algorithm for computing the Cassels-Tate pairing on $Sel^{2} (J) \times Sel^{2} (J)$ where $J$ is the…

math.NT2021

Computing the Cassels-Tate Pairing in the Case of a Richelot Isogeny

Jiali Yan

In this paper, we study the Cassels-Tate pairing on Jacobians of genus two curves admitting a special type of isogenies called Richelot isogenies. Let $ϕ: J \rightarrow \widehat{J}…