Dwork crystals I

Abstract

We present an elementary elaboration of Dwork's idea of explicit $p$-adic limit formulas for zeta functions of toric hypersurfaces.

This version is identical with the earlier one, we only change the numeration of theorems so that it agrees with the version published by IMRN

References in corpus (3)

• Higher Hasse--Witt matrices
• $A$-hypergeometric series associated to a lattice polytope with a unique interior lattice point
• Hasse-Witt matrices, unit roots and period integrals

Cited by in corpus (9)

• Supercongruences for rigid hypergeometric Calabi--Yau threefolds
• Dwork crystals II
• The Explicit Hypergeometric-Modularity Method I
• Dwork crystals III: from excellent Frobenius lifts towards supercongruences
• Ghosts and congruences for $p^s$-approximations of hypergeometric periods
• Notes on solutions of KZ equations modulo $p^s$ and $p$-adic limit $s\to \infty$
• On $p$-integrality of instanton numbers
• An algorithm of computing special values of Dwork's p-adic hypergeometric functions in polynomial time
• Frobenius structure and $p$-adic zeta values