FIBER PRODUCTS OF ELLIPTIC SURFACES WITH SECTION AND ASSOCIATED KUMMER FIBRATIONS-Reference-Cited by-同舟云学术

FIBER PRODUCTS OF ELLIPTIC SURFACES WITH SECTION AND ASSOCIATED KUMMER FIBRATIONS

Published:2009-04 Issue:04 Volume:20 Page:401-426
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

KAPUSTKA GRZEGORZ¹,KAPUSTKA MICHAŁ¹

Affiliation:

1. Jagiellonian University, ul. Reymonta 4, 30-059 Kraków, Poland

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X09005339

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