6533b830fe1ef96bd1297a90
RESEARCH PRODUCT
Quotients of the Dwork Pencil
Gilberto BiniAlice Garbagnatisubject
Automorphism groupPure mathematicsAutomorphismsDwork pencilGeneral Physics and AstronomyAutomorphismCalabi–Yau manifoldCohomologyAlgebraMathematics - Algebraic GeometryMathematics::Algebraic GeometryProjective lineFOS: MathematicsSettore MAT/03 - GeometriaGeometry and TopologyMathematics::Symplectic GeometryAlgebraic Geometry (math.AG)Mathematical PhysicsOrbifoldPencil (mathematics)QuotientMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-07-31 |