Proceedings of the Japan Academy, Series A, Mathematical Sciences

Kummer sandwich theorem of certain elliptic K3 surfaces

Shioda Tetsuji

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Abstract

It is shown that any elliptic K3 surface with a section and with two $II^*$-fibres is sandwiched by a Kummer surface in a very precise way.

Article information

Source
Proc. Japan Acad. Ser. A Math. Sci., Volume 82, Number 8 (2006), 137-140.

Dates
First available in Project Euclid: 6 November 2006

Permanent link to this document
https://projecteuclid.org/euclid.pja/1162820094

Digital Object Identifier
doi:10.3792/pjaa.82.137

Mathematical Reviews number (MathSciNet)
MR2279280

Zentralblatt MATH identifier
1112.14044

Subjects
Primary: 14J27: Elliptic surfaces 14J28: $K3$ surfaces and Enriques surfaces

Keywords
K3 surface elliptic surface singular fibres Kummer surface isogeny

Citation

Tetsuji, Shioda. Kummer sandwich theorem of certain elliptic K3 surfaces. Proc. Japan Acad. Ser. A Math. Sci. 82 (2006), no. 8, 137--140. doi:10.3792/pjaa.82.137. https://projecteuclid.org/euclid.pja/1162820094


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References

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