Open Access
March 2007 An interesting elliptic surface over an elliptic curve
Matthias Schütt, Tetsuji Shioda
Proc. Japan Acad. Ser. A Math. Sci. 83(3): 40-45 (March 2007). DOI: 10.3792/pjaa.83.40

Abstract

We study the elliptic modular surface attached to the commutator subgroup of the modular group. This has an elliptic curve as base and only one singular fibre. We employ an algebraic approach and then consider some arithmetic questions.

Citation

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Matthias Schütt. Tetsuji Shioda. "An interesting elliptic surface over an elliptic curve." Proc. Japan Acad. Ser. A Math. Sci. 83 (3) 40 - 45, March 2007. https://doi.org/10.3792/pjaa.83.40

Information

Published: March 2007
First available in Project Euclid: 9 April 2007

zbMATH: 1125.14024
MathSciNet: MR2317309
Digital Object Identifier: 10.3792/pjaa.83.40

Subjects:
Primary: 14G35 , 14J27

Keywords: commutator subgroup , Elliptic modular surface , Tate conjecture

Rights: Copyright © 2007 The Japan Academy

Vol.83 • No. 3 • March 2007
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