These notes expose the Dwork crystals approach to p-adic cohomology and congruences for algebraic hypersurfaces, with explicit examples and applications in number theory, combinatorics, and Calabi-Yau geometry.
Batyrev, Variations of the MHS of affine hypersurfaces in algebraic tori , Duke Math Journal, 69 (1993), 349–409
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Cohomology and congruences
These notes expose the Dwork crystals approach to p-adic cohomology and congruences for algebraic hypersurfaces, with explicit examples and applications in number theory, combinatorics, and Calabi-Yau geometry.