23 citations · 108 across the 30 of their papers we have counts for
4 papers · 1 filter
Ceresa cycles of bielliptic Picard curves
Jef Laga, Ari Shnidman
We show that the Ceresa cycle of the genus curve is torsion if and only if is a torsion point on the ell…
Rational torsion points on abelian surfaces with quaternionic multiplication
Jef Laga, Ciaran Schembri, Ari Shnidman +1
Let be an abelian surface over whose geometric endomorphism ring is a maximal order in a non-split quaternion algebra. Inspired by Mazur's theorem for elliptic cur…
The geometry and arithmetic of bielliptic Picard curves
Jef Laga, Ari Shnidman
We study the geometry and arithmetic of the curves and their associated Prym abelian surfaces . We prove a Torelli theorem in this context and gi…
Normal distribution of bad reduction
Robert J. Lemke Oliver, Daniel Loughran, Ari Shnidman
We prove normal distribution laws for primes of bad semistable reduction in families of curves. As a consequence, we deduce that when ordered by height, of curves in these…