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Real and Complex Multiplication on K3 Surfaces via Period Integration

Experimental Mathematics, 2018
We report on a new approach, as well as some related experiments, to construct families of K3 surfaces having real or complex multiplication. The approach is based on an explicit description of the transcendental part of the cohomology in a topological ...
A. Elsenhans, Jörg Jahnel
semanticscholar   +1 more source

Apéry-like numbers and families of newforms with complex multiplication

Research in Number Theory, 2018
Using Hecke characters, we construct two infinite families of newforms with complex multiplication, one by $${\mathbb {Q}}(\sqrt{-3})$$Q(-3) and the other by $${\mathbb {Q}}(\sqrt{-2})$$Q(-2).
Alexis Gomez, D. McCarthy, Dylan C Young
semanticscholar   +1 more source

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