Picard-Fuchs equations of families of QM abelian surfaces

Amnon Besser, Ron Livné

Research output: Contribution to journalArticlepeer-review

Abstract

We describe an algorithm for computing the Picard-Fuchs equation for a family of twists of a fixed elliptic surface. We then apply this algorithm to obtain the equations for several examples, which come from families of Kummer surfaces over Shimura curves, as studied in our previous work. We use this to find correspondences between the parameter spaces of our families and Shimura curves.

Original languageEnglish
Pages (from-to)829-856
Number of pages28
JournalCommunications in Number Theory and Physics
Volume12
Issue number4
DOIs
StatePublished - 1 Jan 2018

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Mathematical Physics
  • Physics and Astronomy (all)

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