• Corpus ID: 118563050

The mirror quintic as a quintic

  title={The mirror quintic as a quintic},
  author={Chris Meyer},
  journal={arXiv: Algebraic Geometry},
  • C. Meyer
  • Published 16 March 2005
  • Mathematics
  • arXiv: Algebraic Geometry
The general quintic hypersurface in ${\mathbb P}^4$ is the most famous example of a Calabi--Yau threefold for which mirror symmetry has been investigated in detail. There is a description of the mirror as a hypersurface in a certain weighted projective space. In this note we present a model for the mirror which is again (the resolution of) a quintic hypersurface in ${\mathbb P}^4$. We also deal with the special members in the respective families. They lead to rigid Calabi--Yau threefolds with… 

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