Calabi-Yau conifold expansions
Slawomir Cynk, Duco van Straten

TL;DR
This paper computes Picard-Fuchs operators for Calabi-Yau families near conifold points, revealing examples without maximal unipotent monodromy, thus addressing a specific open question in the field.
Contribution
It provides new examples of Picard-Fuchs operators for Calabi-Yau manifolds, including those lacking maximal unipotent monodromy, expanding understanding of their monodromy properties.
Findings
Examples of Picard-Fuchs operators without maximal unipotent monodromy
Methods for computing periods near conifold points
Answer to Rohde's question on monodromy types
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.
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Taxonomy
TopicsGeometry and complex manifolds · Holomorphic and Operator Theory · Geometric Analysis and Curvature Flows
