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

Mirror quintics, discrete symmetries and Shioda maps / G. Bini, B. van Geemen, T.L. Kelly. - In: JOURNAL OF ALGEBRAIC GEOMETRY. - ISSN 1056-3911. - 21:3(2012), pp. PII S1056-3911(2011)00544-4.401-PII S1056-3911(2011)00544-4.412.

Mirror quintics, discrete symmetries and Shioda maps

G. Bini
Primo
;
B. van Geemen
Secondo
;
2012

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
Settore MAT/03 - Geometria
2012
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/167970
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