Fiber products of elliptic surfaces with section and associated Kummer fibrations

Details Fiber products of elliptic surfaces with section and associated Kummer fibrations Fiber products of elliptic surfaces with section and associated Kummer fibrations

2008-02-26

arxiv.org/abs/0802.3760v1

Mathematics

Algebraic Geometry

To appear in Internat. J. Math. 23 pages

Scientific paper

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.

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