Apéry constants of homogeneous varieties

2016/04/15 by Sergey Galkin, Galkin, Sergey
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Number Theory (math.NT) #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.1604.04652

openalex publication_date 2016/04/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

For Fano manifolds we define Apéry constants and Apéry class as particular limits of ratios of coefficients of solutions of the quantum differential equation. We do numerical computations in case of homogeneous varieties. These numbers are identified to be polynomials in the values of Riemann zeta-function with natural arguments.

Citations

• Real and integral structures in quantum cohomology I: toric orbifolds

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