Universal Kummer families over Shimura curves

Amnon Besser, Ron Livné

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


We give a number of examples of an isomorphism between two types of moduli problems. The first classifies elliptic surfaces over the projective line with five specified singular fibers, of which four are fixed and one gives the parameter; the second classifies K3 surfaces with a specified isogeny to an abelian surface with quaternionic multiplication.
Original languageEnglish
Title of host publicationArithmetic and geometry of K3 surfaces and Calabi-Yau threefolds
PublisherSpringer New York
Number of pages65
ISBN (Electronic)978-1-4614-6403-7
ISBN (Print)978-1-4614-6402-0, 978-1-4899-9918-4
StatePublished - 2013

Publication series

NameFields Institute Communications
PublisherSpringer, New York
ISSN (Print)1069-5265
ISSN (Electronic)2194-1564


  • K3 surfaces
  • Elliptic surfaces
  • Shimura curves
  • Discriminant forms


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