The movable cone of Calabi--Yau threefolds in ruled Fano manifolds

Abstract

We describe explicitly the chamber structure of the movable cone for a general complete intersection Calabi--Yau threefold in a non-split $(n+4)$-dimensional ${\mathbb{P}}^n$-ruled Fano manifold of index $n+1$ and Picard number two. Moreover, all birational minimal models of such Calabi--Yau threefolds are found whose number is finite.

arXiv comment27 pages. The final version is accepted for publication in J. Geom. Phys

References in corpus (7)

• The cone conjecture for Calabi-Yau pairs in dimension two
• Ruled Fano fivefolds of index two
• On the Cone conjecture for Calabi-Yau manifolds with Picard number two
• The movable cone of certain Calabi-Yau threefolds of Picard number two
• On $(2,4)$ complete intersection threefolds that contain an Enriques surface
• Birational automorphism groups and the movable cone theorem for Calabi-Yau complete intersections of products of projective spaces
• A note on nodal determinantal hypersurfaces