A. Shnidman

activity

20172026

most citedRank stability in quadratic extensions and Hilbert's tenth problem for the ring of integers of a number field

1 citations · 1 across the 7 of their papers we have counts for

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3 papers · 1 filter

math.AG2024

Vanishing criteria for Ceresa cycles

Jef Laga, Ari Shnidman

Let $C$ be a smooth projective curve, and let $J$ be its Jacobian. We prove vanishing criteria for the Ceresa cycle $κ (C) \in CH_{1} (J) \otimes Q$ in the Chow group…

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

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…