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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsGeometry and complex manifolds · Holomorphic and Operator Theory · Geometric Analysis and Curvature Flows