In this paper we investigate the geometry of the Dwork pencil in any dimension. More specifically, we study the automorphism group G of the generic fiber of the pencil over the complex projective line, and the quotients of it by various subgroups of G. In particular, we compute the Hodge numbers of these quotients via orbifold cohomology.
Quotients of the Dwork pencil / G. Bini, A. Garbagnati. - In: JOURNAL OF GEOMETRY AND PHYSICS. - ISSN 0393-0440. - 75(2014 Jan), pp. 173-198. [Epub ahead of print] [10.1016/j.geomphys.2013.10.001]
Quotients of the Dwork pencil
G. BiniPrimo
;A. GarbagnatiUltimo
2014
Abstract
In this paper we investigate the geometry of the Dwork pencil in any dimension. More specifically, we study the automorphism group G of the generic fiber of the pencil over the complex projective line, and the quotients of it by various subgroups of G. In particular, we compute the Hodge numbers of these quotients via orbifold cohomology.
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