Some integrality properties in local mirror symmetry
Jian Zhou
TL;DR
This paper proves integrality properties of mirror maps and mirror curves in local Calabi-Yau geometries, advancing understanding in mirror symmetry and algebraic geometry.
Contribution
It establishes new integrality results for open-closed mirror maps and mirror curves in specific local Calabi-Yau models.
Findings
Proved integrality of open-closed mirror maps
Established integrality of inverse mirror maps
Demonstrated integrality of mirror curves
Abstract
We prove some integrality properties of the open-closed mirror maps, inverse open-closed mirror maps and mirror curves of some local Calabi-Yau geometries.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Nonlinear Waves and Solitons · Geometry and complex manifolds