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arXiv · 1605.07877

Mirror Symmetry for Plane Cubics Revisited

Jie Zhou
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Abstract

In this expository note we discuss some arithmetic aspects of the mirror symmetry for plane cubic curves. We also explain how the Picard-Fuchs equation can be used to reveal part of these arithmetic properties. The application of Picard-Fuchs equations in studying the genus zero Gromov-Witten invariants of more general Calabi-Yau varieties and the Weil-Petersson geometry on their moduli spaces will also be discussed.

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Jie Zhou. 2016-05-25. Mirror Symmetry for Plane Cubics Revisited. https://arxiv.org/abs/1605.07877

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