J. Laga

activity

20202025

most citedThe average size of the 2-Selmer group of a family of non-hyperelliptic curves of genus 3

6 citations · 9 across the 12 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

math.AG2023

Ceresa cycles of bielliptic Picard curves

Jef Laga, Ari Shnidman

We show that the Ceresa cycle $κ (C_{t})$ of the genus $3$ curve $C_{t} : y^{3} = x^{4} + 2 t x^{2} + 1$ is torsion if and only if $Q_{t} = (3 t^{2} - 1, t)$ is a torsion point on the ell…

math.NT2023★ 1 cited

Rational torsion points on abelian surfaces with quaternionic multiplication

Jef Laga, Ciaran Schembri, Ari Shnidman +1

Let $A$ be an abelian surface over $Q$ whose geometric endomorphism ring is a maximal order in a non-split quaternion algebra. Inspired by Mazur's theorem for elliptic cur…

math.AG2023★ 1 cited

The geometry and arithmetic of bielliptic Picard curves

Jef Laga, Ari Shnidman

We study the geometry and arithmetic of the curves $C : y^{3} = x^{4} + a x^{2} + b$ and their associated Prym abelian surfaces $P$ . We prove a Torelli theorem in this context and gi…