Mirror duality between Calabi-Yau fractional complete intersections
Tsung-Ju Lee
TL;DR
This paper surveys joint work on mirror duality for Calabi-Yau fractional complete intersections, highlighting explicit examples in enumerative geometry and discussing the underlying mathematical structures.
Contribution
It provides an expository overview of recent joint research on mirror duality for fractional Calabi-Yau intersections and includes illustrative examples in enumerative geometry.
Findings
Explicit examples of mirror duality in fractional Calabi-Yau intersections
Connections between mirror symmetry and enumerative geometry
Foundational survey of recent joint research
Abstract
This is an expanded version of the author's talk at the third annual meeting of International Consortium of Chinese Mathematicians held at USTC in December 2020. In this expository article, we give a survey on joint works with Hosono, Lian, and Yau in arXiv:2003.07148 and arXiv:2008.04039. We also carry out some explicit examples to illustrate our results in enumerative geometry which will appear in our forthcoming papers.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Point processes and geometric inequalities · Geometric Analysis and Curvature Flows