Integral points on algebraic subvarieties of period domains: from number fields to finitely generated fields

HIGHLIGHTS

  • who: Ariyan Javanpeykar from the (UNIVERSITY) have published the paper: Integral points on algebraic subvarieties of period domains: from number fields to finitely generated fields, in the Journal: (JOURNAL)
  • what: The authors show that for a variety which admits a quasi-finite period map finiteness (resp. non-Zariski-density) of S-integral points implies finiteness (resp. non-Zariski-density) of points over all Z-finitely generated integral domains of characteristic zero. The aim of this note is to give arithmetic applications of foundational results in Hodge theory. Motivated by Lawrence-Venkatesh`s recent breakthrough, the . . .

     

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