Critère pour l'intégralité des coefficients de Taylor des applications miroir

DOI10.1515/CRELLE.2011.094zbMath1271.11066arXiv0912.3776OpenAlexW2051611619MaRDI QIDQ3117037

Éric Delaygue

Publication date: 16 February 2012

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.3776

zbMATH Keywords

mirror symmetryhypergeometric seriesLandau criterion

Mathematics Subject Classification ID

(4)-folds (14J35) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Generalized hypergeometric series, ({}_pF_q) (33C20) Arithmetic mirror symmetry (11G42)

Related Items

On Dwork’s 𝑝-adic formal congruences theorem and hypergeometric mirror maps ⋮ On generalized hypergeometric equations and mirror maps ⋮ Arithmetic properties of mirror maps associated with Gauss hypergeometric equations ⋮ A criterion for the integrality of the Taylor coefficients of mirror maps in several variables ⋮ Integrality of the Taylor coefficients of roots of mirror maps ⋮ Arithmetic properties of hypergeometric mirror maps and Dwork's congruences ⋮ On the integrality of hypergeometric series whose coefficients are factorial ratios

Cites Work

• On the integrality of the Taylor coefficients of mirror maps
• On the integrality of power expansions related to hypergeometric series.
• Generalized hypergeometric functions and rational curves on Calabi-Yau complete intersections in toric varieties
• Arithmetic properties of mirror map and quantum coupling
• Factorial ratios, hypergeometric series, and a family of step functions