Fields of definition and Belyi type theorems for curves and surfaces

Paolo Dolce

Research output: Contribution to journalArticlepeer-review

Abstract

We study the relationship between the (effective) fields of definition of a complex projective variety and the orbit {Xσ}σ∈Aut(ℂ) where Xσ is the “twisted” variety obtained by applying σ to the equations defining X. Furthermore we present some applications of this theory to smooth curves and smooth minimal surfaces.

Original languageEnglish
Pages (from-to)823-851
Number of pages29
JournalNew York Journal of Mathematics
Volume22
StatePublished - 1 Jan 2016
Externally publishedYes

Keywords

  • Belyi’s theorem
  • Fields of definition
  • Minimal surfaces
  • Numberfields
  • Projective varieties

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