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arxiv: 1310.1226 · v1 · pith:DZZ2NEPOnew · submitted 2013-10-04 · 🧮 math.AG

On ordinary crystals with logarithmic poles

classification 🧮 math.AG
keywords crystalslogarithmicordinarypolesabstractapplybasecanonical
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We derive some local properties of abstract crystals with logarithmic poles over a smooth base in positive characteristic and obtain the existence of the canonical coordinates of certain ordinary crystals. We then apply the results to deduce an integral property of the coefficients of the so-called mirror maps.

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