A Finiteness Theorem for Elliptic Calabi-Yau Threefolds

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We prove that up to birational equivalence, there exists only a finite number of families of Calabi-Yau threefolds (i.e. a threefold with trivial canonical class and factorial terminal singularities) which have an elliptic fibration to a rational surface. This strengthens a result of B. Hunt that there are only a finite number of possible Euler characteristics for such threefolds.
29 pages, plain TeX

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Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/149808

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/alg-geom/9305002
 http://arxiv.org/abs/alg-geom/9305002

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arXiv