Primitive contractions of Calabi-Yau threefolds I

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dc.creatorKapustka, Grzegorz
dc.creatorKapustka, Michal
dc.date2007-03-27
dc.date2008-01-24
dc.date.accessioned2026-07-07T08:56:08Z
dc.date.available2026-07-07T08:56:08Z
dc.descriptionWe construct examples of primitive contractions of Calabi--Yau threefolds with exceptional locus being $ \mathbb{P}^1 \times \mathbb{P}^1$, $\mathbb{P}^2$, and smooth del Pezzo surfaces of degrees $\leq 5$. We describe the images of these primitive contractions and find their smoothing families. In particular, we give a method to compute the Hodge numbers of a generic fiber of the smoothing family of each Calabi--Yau threefold with one isolated singularity obtained after a primitive contraction of type II. As an application, we get examples of natural conifold transitions between some families of Calabi--Yau threefolds.
dc.description23 pages, the numeration of subarticles changed
dc.identifierhttps://arxiv.org/abs/math/0703810
dc.identifierhttp://arxiv.org/abs/math/0703810
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146505
dc.subjectAlgebraic Geometry
dc.subject14J32;14J10
dc.titlePrimitive contractions of Calabi-Yau threefolds I
dc.typetext

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