arXiv:1802.10210 Abstract | arXiv Analytics

arXiv:1802.10210 [math.AG]Abstract References Reviews Resources

Real and complex multiplication on K3 surfaces via period integration

Published 2018-02-27Version 1

We report on a new approach, as well as some related experiments, to construct families of K3 surfaces having real or complex multiplication. Fundamental ideas include considering the period space of marked K3 surfaces, determining the periods by numerical integration, as well as tracing the modular curve by a numerical continuation method.

Categories: math.AG, math.AT, math.NT

Subjects: 14J28, 14J15, 14F25, 65D30, 65D10

Keywords: complex multiplication, period integration, construct families, fundamental ideas, period space

Related articles: Most relevant | Search more

arXiv:2102.07285 [math.AG] (Published 2021-02-15)

Complex Multiplication and Noether-Lefschetz Loci of the Twistor Space of a K3 Surface

Francesco Viganò

arXiv:math/0509687 [math.AG] (Published 2005-09-29, updated 2007-03-23)

Irreducible Heegner Divisors in the Period Space of Enriques Surfaces

Caner Koca, Ali Sinan Sertoz

arXiv:2401.04072 [math.AG] (Published 2024-01-08)

K3 surfaces with real or complex multiplication