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.
G. Bini, A. Garbagnati (2014). Quotients of the Dwork pencil. JOURNAL OF GEOMETRY AND PHYSICS, 75, 173-198 [10.1016/j.geomphys.2013.10.001].
Quotients of the Dwork pencil
G. Bini;
2014-01-01
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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