14 citations · 67 across the 20 of their papers we have counts for
Showing 2019Show all
3 papers · 1 filter
math.NT2019★ 13 cited
Exceptional jumps of Picard ranks of reductions of K3 surfaces over number fields
Ananth N. Shankar, Arul Shankar, Yunqing Tang +1
Given a K3 surface over a number field with potentially good reduction everywhere, we prove that the set of primes of where the geometric Picard rank jumps is infinite.…
math.NT2019★ 1 cited
Families of elliptic curves ordered by conductor
Ananth N. Shankar, Arul Shankar, Xiaoheng Wang
In this article, we study the family of elliptic curves , having good reduction at and , and whose -invariants are small. Within this set of elliptic curves…
math.NT2019★ 13 cited
Almost ordinary abelian varieties over finite fields
Abhishek Oswal, Ananth N. Shankar
We provide a characterization of almost ordinary abelian varieties over finite fields, and use this characterization to provide lower bounds for the sizes of some almost ordinary i…