On the integrality of factorial ratios and mirror maps

2018/02/22 by Alan Adolphson, Steven Sperber, Adolphson, Alan +1
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT) #math.AG #math.NT

paper · pdf · doi:10.48550/arxiv.1802.08348

13 pages

arxiv created 2018/02/22 · arxiv updated 2018/02/26

Abstract

Landau has characterized the integrality of certain ratios of factorials. Delaygue has characterized the integrality of the Taylor coefficients of certain mirror maps constructed from series involving those ratios. Using the A-hypergeometric point of view, we express those characterizations in terms of the nonexistence of interior points in multiples of the associated lattice polytope.

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