We study nodal complete intersection threefolds of type (2, 4) in P5 which contain an Enriques surface in its Fano embedding. We completely determine Calabi–Yau birational models of a generic such threefold. These models have Hodge numbers h11= 2 , h12= 32. We also describe Calabi–Yau varieties with Hodge numbers (h11, h12) equal to (2, 26), (23, 5) and (31, 1). The last two pairs of Hodge numbers are, to the best of our knowledge, new.
All Science Journal Classification (ASJC) codes
- Calabi–Yau threefolds
- Enriques surfaces
- Minimal model program