Open Access
January, 2005 On Mordell-Weil lattices of bielliptic fibrations on rational surfaces
Shinya KITAGAWA
J. Math. Soc. Japan 57(1): 137-155 (January, 2005). DOI: 10.2969/jmsj/1160745818

Abstract

We study Mordell-Weil lattices for bielliptic fibrations on rational surfaces. We prove theorems on the structure and give an explicit construction of the fibration with maximal Mordell-Weil rank and moreover determine the structures of such lattices.

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Shinya KITAGAWA. "On Mordell-Weil lattices of bielliptic fibrations on rational surfaces." J. Math. Soc. Japan 57 (1) 137 - 155, January, 2005. https://doi.org/10.2969/jmsj/1160745818

Information

Published: January, 2005
First available in Project Euclid: 13 October 2006

zbMATH: 1093.14051
MathSciNet: MR2114725
Digital Object Identifier: 10.2969/jmsj/1160745818

Subjects:
Primary: 14J26

Keywords: bielliptic fibration , Mordell-Weil lattice , rational surface

Rights: Copyright © 2005 Mathematical Society of Japan

Vol.57 • No. 1 • January, 2005
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