256 citations · 779 across the 26 of their papers we have counts for
4 papers · 1 filter
Examples of abelian surfaces with everywhere good reduction
Lassina Dembele, Abhinav Kumar
We describe several explicit examples of simple abelian surfaces over real quadratic fields with real multiplication and everywhere good reduction. These examples provide evidence…
Metacommutation of Hurwitz primes
Henry Cohn, Abhinav Kumar
Conway and Smith introduced the operation of metacommutation for pairs of primes in the ring of Hurwitz integers in the quaternions. We study the permutation induced on the primes…
Formal duality and generalizations of the Poisson summation formula
Henry Cohn, Abhinav Kumar, Christian Reiher +1
We study the notion of formal duality introduced by Cohn, Kumar, and Schürmann in their computational study of energy-minimizing particle configurations in Euclidean space. In part…
K3 surfaces and equations for Hilbert modular surfaces
Noam Elkies, Abhinav Kumar
We outline a method to compute rational models for the Hilbert modular surfaces Y_{-}(D), which are coarse moduli spaces for principally polarized abelian surfaces with real multip…