A Finiteness Theorem for Elliptic Calabi-Yau Threefolds
alg-geom
2008-02-03 v1 Algebraic Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.alg-geom/9305002,
title = {A Finiteness Theorem for Elliptic Calabi-Yau Threefolds},
author = {M. Gross},
journal= {arXiv preprint arXiv:alg-geom/9305002},
year = {2008}
}
Comments
29 pages, plain TeX