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arXiv · 2008.04039

On Calabi--Yau fractional complete intersections

Tsung-Ju Lee·Bong H. Lian·Shing-Tung Yau
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Abstract

In this article, we study mirror symmetry for pairs of singular Calabi--Yau manifolds which are double covers of toric manifolds. Their period integrals can be seen as certain `fractional' analogues of those of ordinary complete intersections. This new structure can then be used to solve their Riemann--Hilbert problems. The latter can then be used to answer definitively questions about mirror symmetry for this class of Calabi--Yau manifolds.

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Tsung-Ju Lee, Bong H. Lian, Shing-Tung Yau. 2020-08-10. On Calabi--Yau fractional complete intersections. https://arxiv.org/abs/2008.04039

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