The Ordinary Limit for Varieties over Z[x_1,...,x_r]

Details The Ordinary Limit for Varieties over Z[x_1,...,x_r] The Ordinary Limit for Varieties over Z[x_1,...,x_r]

2002-12-04

arxiv.org/abs/math/0212067v2

Mathematics

Algebraic Geometry

33 p.; Latex2e;v2: only change: style file fic-l.cls provided; to appear in proceedings of workshop on Calabi-Yau varieties an

Scientific paper

We investigate for families of smooth projective varieties over a localized
polynomial ring Z[x_1,...,x_r][D^{-1}] the conjugate filtration on De Rham
cohomology tensored with Z/NZ. As N tends to infinity this leads to the concept
of the ordinary limit, which seems to be the non-archimedean analogue of the
large complex structure limit

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