Assuming that the Zariski closure of G in GLn has no toric part, we give a condition on the (mod p) reduction of G which guarantees that G is of bounded index in GLn(Zp) ∩ G(Qp). In [No], Nori considered a special class of subgroups of GLn(Fp), namely groups which are ...
choiceofv-adicmetricsonL.Contents1Introduction32GeometryofL-polarizedvarieties82.1L-closure...82.2KodairaenergyandαL(V)...102.3L-primitivevarieties...132.4L-primitivefibrationsanddescentofmetrics...173Heightsandasymptoticformulas203.1Basicterminologyandnotations...203.2WeaklyandstronglyL-saturatedvarieties......