6533b854fe1ef96bd12ae968
RESEARCH PRODUCT
New fourfolds from F-theory
Gilberto BiniMatteo Peneginisubject
14J50F-theory14J32del Pezzo surface14J32; 14J35; 14J50; Calabi-Yau manifolds; Del Pezzo surfaces; Elliptic fibration; F-theory; Mathematics (all)Calabi-Yau manifoldMathematics - Algebraic GeometryCalabi-Yau manifoldsFOS: MathematicsMathematics (all)14J35Settore MAT/03 - Geometriaelliptic fibrationDel Pezzo surfaces14J32 14J35 14J50Algebraic Geometry (math.AG)description
In this paper, we apply Borcea-Voisin's construction and give new examples of fourfolds containing a del Pezzo surface of degree six, which admit an elliptic fibration on a smooth threefold. Some of these fourfolds are Calabi-Yau varieties, which are relevant for the $N=1$ compactification of Type IIB string theory known as $F$-Theory. As a by-product, we provide a new example of a Calabi--Yau threefold with Hodge numbers $h^{1,1}=h^{2,1}=10$.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2015-07-23 |