Mirror quintics, discrete symmetries and Shioda maps
- Autori: G. Bini; B. van Geemen; T.L. Kelly
- Anno di pubblicazione: 2012
- Tipologia: Articolo in rivista
- OA Link: http://hdl.handle.net/10447/394796
Abstract
In 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 -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.