Dwork Congruences and reflexive Polytopes

Abstract

We show that the coefficients of the power series expansion of the principal period of a Laurent polynomial satisfy strong congruence properties. These congruences play a key role in the explicit p-adic analytic continuation of the unit root.

References in corpus (2)

• Tables of Calabi--Yau equations
• Notes on Calabi-Yau ordinary differential equations

Cited by in corpus (4)

• Lucas' theorem: its generalizations, extensions and applications (1878--2014)
• $A$-hypergeometric series associated to a lattice polytope with a unique interior lattice point
• Algebraic independence of $G$-functions and congruences "à la Lucas"
• Modular-type functions attached to Calabi-Yau varieties: integrality properties