ZETA-FUNCTIONS OF CERTAIN K3-FIBERED CALABI–YAU THREEFOLDS-Reference-Cited by-同舟云学术

ZETA-FUNCTIONS OF CERTAIN K3-FIBERED CALABI–YAU THREEFOLDS

Published:2011-01 Issue:01 Volume:22 Page:67-129
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

GOTO YASUHIRO¹,KLOOSTERMAN REMKE²³,YUI NORIKO⁴

Affiliation:

1. Department of Mathematics, Hokkaido University of Education, 1-2 Hachiman-cho, Hakodate 040-8567, Japan

2. Institut für Algebraische Geometrie, Universität Hannover, Welfengarten 1, D-30167, Hannover, Germany

3. Institut für Mathematik, Humboldt Universität zu Berlin, Unter den Linden 6, D-10099 Berlin, Germany

4. Department of Mathematics and Statistics, Queen's University, Kingston, Ontario Canada K7L 3N6, Canada

Abstract

We consider certain K3-fibered Calabi–Yau threefolds. One class of such Calabi–Yau threefolds is constructed by Hunt and Schimmrigk using twist maps. They are realized in weighted projective spaces as orbifolds of hypersurfaces. Our main goal of this paper is to investigate arithmetic properties of these K3-fibered Calabi–Yau threefolds. In particular, we give detailed discussions on the construction of these Calabi–Yau varieties, singularities and their resolutions. We then determine the zeta-functions of these Calabi–Yau varieties. Next we consider deformations of our K3-fibered Calabi–Yau threefolds, and we study the variation of the zeta-functions using p-adic rigid cohomology theory.

Publisher

World Scientific Pub Co Pte Ltd

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X11006726

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