most citedGoverning fields and statistics for 4-Selmer groups and 8-class groups

10 citations · 10 across the 2 of their papers we have counts for

collaborators

2 papers

math.NT2016★ 10 cited

Governing fields and statistics for 4-Selmer groups and 8-class groups

Alexander Smith

Taking A to be an abelian variety with full 2-torsion over a number field k, we investigate how the 4-Selmer rank of the quadratic twist A^d changes with d. We show that this rank…

math.AG2014

Irreducible Canonical Representations in Positive Characteristic

Benjamin Gunby, Alexander Smith, Allen Yuan

For a curve over a field of positive characteristic, we investigate when the canonical representation of on is irreducible. Any curve with an irre…