2005/06/17 by Susumu Tanabé, Susumu Tanabe, Tanabe, Susumu
Mathematics · Physics and Astronomy · #Algebraic Geometry (math.AG) #Algebraic and Geometric Analysis #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematics and Applications #Quantum chaos and dynamical systems #math.AG #math.CA
paper · pdf · doi:10.48550/arxiv.math/0506354
20pages, a new chapter on the nef-partition is added
openalex publication_date 2005/06/17 · arxiv created 2006/03/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this note we study several conditions to be imposed on a mirror symmetry candidate to the generic multi-quasihomogeneous Calabi-Yau variety defined in the product of the quasihomogeneous projective spaces. We propose several properties for a Calabi-Yau complete intersection variety so that its period integrals can be expressed by means of quasihomogeneous weights of its mirror symmetry candidate as it has been suggested by Berglund, Candelas et altri. As a corollary, we see certain duality between the monodromy data and the Poincaré polynomials of the Euler characteristic for the pairs of our varieties.