A. Shnidman

activity

20162026

most citedRank growth of elliptic curves over

N

-th root extensions

7 citations · 32 across the 20 of their papers we have counts for

collaborators

Showing 2023 · math.AGShow all

2 papers · 2 filters

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.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…