TY - JOUR
T1 - Complete intersections
T2 - moduli, Torelli, and good reduction
AU - Javanpeykar, A.
AU - Loughran, D.
PY - 2017/8
Y1 - 2017/8
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84982902920&partnerID=8YFLogxK
U2 - 10.1007/s00208-016-1455-5
DO - 10.1007/s00208-016-1455-5
M3 - Article
AN - SCOPUS:84982902920
SN - 0025-5831
SP - 1
EP - 35
JO - Mathematische Annalen
JF - Mathematische Annalen
ER -