Ordinary Calabi-Yau-3 Crystals

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dc.creatorStienstra, Jan
dc.date2002-12-04
dc.date2002-12-18
dc.date.accessioned2026-07-07T04:53:32Z
dc.date.available2026-07-07T04:53:32Z
dc.descriptionWe show that crystals with the properties of crystalline cohomology of ordinary Calabi-Yau threefolds in characteristic p>0, exhibit a remarkable similarity with the well known structure on the cohomology of complex Calabi-Yau threefolds near a boundary point of the moduli space with maximal unipotent local monodromy. In particular, there are canonical coordinates and an analogue of the prepotential of the Yukawa coupling. Moreover we show p-adic analogues of the integrality properties for the canonical coordinates and the prepotential of the Yukawa coupling, which have been observed in the examples of Mirror Symmetry.
dc.description17 p.; Latex2e;v2: only change: style file fic-l.cls provided; to appear in proceedings of Workshop on Calabi-Yau Varieties and Mirror Symmetry at Fields Institute, July 2001
dc.identifierhttps://arxiv.org/abs/math/0212061
dc.identifierhttp://arxiv.org/abs/math/0212061
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65884
dc.subjectAlgebraic Geometry
dc.subjectHigh Energy Physics - Theory
dc.subjectNumber Theory
dc.subject14F30, 14J32
dc.titleOrdinary Calabi-Yau-3 Crystals
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