3 papers
math.NT2025
Computing class groups and unit groups in Magma
Andreas-Stephan Elsenhans, John Voight
We describe the computation of class groups and unit groups of number fields as implemented in Magma (V2.29). After quickly reviewing the main algorithms based on factor bases, rel…
math.NT2025
Explicit modularity of K3 surfaces with complex multiplication of large degree
Edgar Costa, Andreas-Stephan Elsenhans, Jörg Jahnel +1
We consider the transcendental motive of three K3 surfaces conjectured to have complex multiplication (CM). Under this assumption, we match these to explicit algebraic Hecke qu…
math.NT2024
Hypergeometric Motives from Euler Integral Representations
Tyler L. Kelly, John Voight
We revisit certain one-parameter families of affine covers arising naturally from Euler's integral representation of hypergeometric functions. We introduce a partial compactificati…