6533b873fe1ef96bd12d4516
RESEARCH PRODUCT
Groups acting freely on Calabi-Yau threefolds embedded in a product of del Pezzo surfaces
Filippo F. FavaleGilberto Binisubject
Automorphism groupPure mathematicsGeneral MathematicsGeneral Physics and AstronomyFOS: Physical sciencesFano planeMathematical Physics (math-ph)AutomorphismMathematics - Algebraic GeometryMathematics::Algebraic GeometryProduct (mathematics)FOS: MathematicsCalabi–Yau manifolddel pezzo calabi yauSettore MAT/03 - GeometriaMathematics::Differential GeometryGrupo actions Calabi-Yau threefolds hodge numbersAlgebraic Geometry (math.AG)Mathematics::Symplectic GeometryQuotientMathematical PhysicsMathematicsdescription
In this paper, we investigate quotients of Calabi-Yau manifolds $Y$ embedded in Fano varieties $X$, which are products of two del Pezzo surfaces — with respect to groups $G$ that act freely on $Y$. In particular, we revisit some known examples and we obtain some new Calabi-Yau varieties with small Hodge numbers. The groups $G$ are subgroups of the automorphism groups of $X$, which is described in terms of the automorphism group of the two del Pezzo surfaces.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2011-04-01 |