Overconvergent log isocrystals and holonomicity

Mathematics – Algebraic Geometry

Scientific paper

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36 pages

Scientific paper

Let V be a complete discrete valuation ring of unequal characteristic with
perfect residue field. Let X be smooth separated formal V-scheme, Z a strict
normal crossing divisor of X and T a divisor of the special fiber of X. We
study in this work isocrystals on the smooth log formal V-scheme associated to
(X,Z) overconvergent along T.

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