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 2024Show all

2 papers · 1 filter

math.NT2024

100% of odd hyperelliptic Jacobians have no rational points of small height

Jef Laga, Jack A. Thorne

We study the universal family of odd hyperelliptic curves of genus $g \geq 1$ over $Q$ . We relate the heights of $Q$ -points of Jacobians of curves in this family…

math.NT2024

A positive proportion of monic odd-degree hyperelliptic curves of genus $g \geq 4$ have no unexpected quadratic points

Jef Laga, Ashvin A. Swaminathan

Let $F_{g}$ be the family of monic odd-degree hyperelliptic curves of genus $g$ over $Q$ . Poonen and Stoll have shown that for every $g \geq 3$ , a positive proport…

100% of odd hyperelliptic Jacobians have no rational points of small height

A positive proportion of monic odd-degree hyperelliptic curves of genus g≥4 have no unexpected quadratic points

A positive proportion of monic odd-degree hyperelliptic curves of genus $g \geq 4$ have no unexpected quadratic points