The mirror quintic as a quintic

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dc.creatorMeyer, Christian
dc.date2005-03-16
dc.date.accessioned2026-07-07T05:18:00Z
dc.date.available2026-07-07T05:18:00Z
dc.descriptionThe 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 interesting arithmetical properties. In the last section we try to find a similarly nice model for the mirror of the complete intersection of two cubics in ${\mathbb P}^5$. We also formulate a general question about mirror models.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/math/0503329
dc.identifierhttp://arxiv.org/abs/math/0503329
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74513
dc.subjectAlgebraic Geometry
dc.subject14J32; 14G10
dc.titleThe mirror quintic as a quintic
dc.typetext

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