4 papers · 1 filter
Exponents of Jacobians and relative class groups
Borys Kadets, Daniel Keliher
We prove a lower bound for the exponent of the relative class group for a covering of curves over a finite field $\mathbb…
Distribution of Selmer ranks in prime cyclic extensions
Daniel Keliher, Sun Woo Park
Using modifications to work of Klagsbrun, Mazur, and Rubin, we study (assuming the Extended Riemann Hypothesis) the distribution of Selmer ranks of twist families of some given eve…
Large deviation principles for abelian monoids
Daniel Keliher, Sun Woo Park
Following work of Mehrdad and Zhu and of Liu, we prove a large deviation principle for a broad class of integer-valued additive functions defined over abelian monoids. As a corolla…
Rank growth of elliptic curves over S3 extensions with fixed quadratic resolvents
Daniel Keliher, Sun Woo Park
We study the probability with which an elliptic curve , subject to some technical conditions, gains rank upon base extension to an -cubic extension with quadratic r…