Primitive contractions of Calabi-Yau threefolds II

Abstract

We construct 16 new examples of Calabi--Yau threefolds with Picard group of rank 1. Each of these examples is obtained by smoothing the image of a primitive contraction with exceptional divisor being a del Pezzo surface of degree 6, 7 or ${\mathbb{P}}^1\times {\mathbb{P}}^1$.

20 pages, to appear in JLMS

References in corpus (10)

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Cited by in corpus (11)

• Calabi-Yau Threefolds With Small Hodge Numbers
• Cubic fourfolds fibered in sextic del Pezzo surfaces
• Hodge Numbers for CICYs with Symmetries of Order Divisible by 4
• Geometric transitions between Calabi-Yau threefolds related to Kustin-Miller unprojections
• Conway Subgroup Symmetric Compactifications Of Heterotic String
• The movable cone of certain Calabi-Yau threefolds of Picard number two
• Intersections of two Grassmannians in ${\mathbf{P}}^9$
• Birational maps between Calabi-Yau manifolds associated to webs of quadrics
• On the motive of intersections of two Grassmannians in ${\mathbb{P}}^9$
• Non-factorial nodal complete intersection threefolds
• Tilting generators via ample line bundles