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A pencil of Enriques surfaces of index one with no section

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Abstract

Monodromy arguments and deformation-and-specialization are used to prove existence of a pencil of Enriques surfaces with no section and index 1. The same technique "completes" the strategy from Graber et al. (2005) proving that the family of witness curves for dimension d depends on the integer d.

Original languageEnglish
Pages (from-to)637-652
Number of pages16
JournalAlgebra and Number Theory
Volume3
Issue number6
DOIs
StatePublished - 2009

Keywords

  • Enriques surface
  • Rational point

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