Fiber products of elliptic surfaces with section and associated Kummer fibrations
Algebraic Geometry
2008-02-27 v1
Abstract
We investigate Calabi--Yau three folds which are small resolutions of fiber products of elliptic surfaces with section admitting reduced fibers. We start by the classification of all fibers that can appear on such varieties. Then, we find formulas to compute the Hodge numbers of obtained three folds in terms of the types of singular fibers of the elliptic surfaces. Next we study Kummer fibrations associated to these fiber products.
Keywords
Cite
@article{arxiv.0802.3760,
title = {Fiber products of elliptic surfaces with section and associated Kummer fibrations},
author = {Grzegorz Kapustka and Michal Kapustka},
journal= {arXiv preprint arXiv:0802.3760},
year = {2008}
}
Comments
To appear in Internat. J. Math. 23 pages