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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.
http://www.arxiv.org/abs/math.AG/021206
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