Mirror Quintics, discrete symmetries and Shioda Maps

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dc.creatorBini, Gilberto
dc.creatorvan Geemen, Bert
dc.creatorKelly, Tyler L.
dc.date2008-09-10
dc.date.accessioned2026-07-07T10:02:01Z
dc.date.available2026-07-07T10:02:01Z
dc.descriptionIn a recent paper, Doran, Greene and Judes considered one parameter families of quintic threefolds with finite symmetry groups. A surprising result was that each of these six families has the same Picard Fuchs equation associated to the holomorphic 3-form. In this paper we give an easy argument, involving the family of Mirror Quintics, which implies this result. Using a construction due to Shioda, we also relate certain quotients of these one parameter families to the family of Mirror Quintics. Our constructions generalize to degree n Calabi Yau varieties in (n-1)-dimensional projective space.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/0809.1791
dc.identifierhttp://arxiv.org/abs/0809.1791
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168828
dc.subjectAlgebraic Geometry
dc.subjectHigh Energy Physics - Theory
dc.titleMirror Quintics, discrete symmetries and Shioda Maps
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