A Finiteness Theorem for Elliptic Calabi-Yau Threefolds

Details A Finiteness Theorem for Elliptic Calabi-Yau Threefolds A Finiteness Theorem for Elliptic Calabi-Yau Threefolds

1993-05-03

arxiv.org/abs/alg-geom/9305002v1

Mathematics

Algebraic Geometry

29 pages, plain TeX

Scientific paper

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.

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