Complete intersections: moduli, Torelli, and good reduction

A. Javanpeykar, D. Loughran

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3 Citations (Scopus)

Abstract

We study the arithmetic of complete intersections in projective space over number fields. Our main results include arithmetic Torelli theorems and versions of the Shafarevich conjecture, as proved for curves and abelian varieties by Faltings. For example, we prove an analogue of the Shafarevich conjecture for cubic and quartic threefolds and intersections of two quadrics.
Original languageEnglish
Pages (from-to)1191-1225
Number of pages35
JournalMathematische Annalen
Volume368
Issue number3-4
Early online date4 Aug 2016
DOIs
Publication statusPublished - 31 Aug 2017

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