Mirror Symmetry for Plane Cubics Revisited

Jie Zhou Perimeter Institute

Mathematical Physics mathscidoc:1608.22009

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.
Mirror Symmetry, Elliptic Curves, Torsion
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  title={Mirror Symmetry for Plane Cubics Revisited},
  author={Jie Zhou},
Jie Zhou. Mirror Symmetry for Plane Cubics Revisited. 2016. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160821204837183292367.
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