Complete intersection Calabi--Yau 3-folds in Projective bundles


Sz-Sheng Wang ( Tsinghua University, China )
2017-05-25  16:10 - 17:00
Room 101, Mathematics Research Center Building (ori. New Math. Bldg.)

We will give a construction of smooth complete intersection varieties (including Calabi-Yau and Fano) with a determinantal contraction in a projective bundle over smooth m-folds, which is a straightforward generalization of the construction of complete intersection Calabi–Yau (CICY) 3-folds in product of projective spaces (Candelas et al. 1988). When m=4, we prove that the image of the determinantal contraction is a nodal 3-fold.
As an application, we supply a proof of the result by P.S. Green and T. Hubsch (1988) that all CICY 3-folds in product of projective spaces are connected through conifold transitions. If time permits, we will discuss various applications of our construction.