Calabi-Yau conifold expansions

2012/10/11 by Sławomir Cynk, Cynk, Slawomir, Duco van Straten +1
Mathematics · #32S40 #34M15 #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Holomorphic and Operator Theory #Primary:14J32 #Secondary: 14Qxx

paper · pdf · doi:10.48550/arxiv.1210.3249

openalex publication_date 2012/10/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We describe examples of computations of Picard-Fuchs operators for families of Calabi-Yau manifolds based on the expansion of a period near a conifold point. We find examples of operators without a point of maximal unipotent monodromy, thus answering a question posed by J. Rohde.

Related

• Algebraic characterization of differential operators of Calabi-Yau type
• Calabi--Yau Operators
• Coefficients of the monodromy matrices of one-parameter families of double octic Calabi-Yau threefolds at a half-conifold point
• The Picard-Fuchs equation of a family of Calabi-Yau threefolds without maximal unipotent monodromy
• Examples of Calabi-Yau threefolds parametrised by Shimura varieties