The automorphism groups of Kummer surfaces associated with the product of two elliptic curves

Authors:
Jonghae Keum and Shigeyuki Kondo

Journal:
Trans. Amer. Math. Soc. **353** (2001), 1469-1487

MSC (2000):
Primary 14J28, 14J50, 11H56

DOI:
https://doi.org/10.1090/S0002-9947-00-02631-3

Published electronically:
September 13, 2000

MathSciNet review:
1806732

Full-text PDF

Abstract | References | Similar Articles | Additional Information

We calculate the automorphism groups of several Kummer surfaces associated with the product of two elliptic curves. We give their generators explicitly.

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Additional Information

**Jonghae Keum**

Affiliation:
Department of Mathematics, Konkuk University, Seoul 143-701, Korea and Korea Institute for Advanced Study, Seoul 130-012, Korea

Address at time of publication:
Korea Institute for Advanced Study, 207-43 Cheongryangri-dong, Dongdaemun-gu, Seoul 130-012, Korea

Email:
jhkeum@kkucc.konkuk.ac.kr, jhkeum@kias.re.kr

**Shigeyuki Kondo**

Affiliation:
Graduate School of Mathematics, Nagoya University, Nagoya 464-8602, Japan

Email:
kondo@math.nagoya-u.ac.jp

DOI:
https://doi.org/10.1090/S0002-9947-00-02631-3

Keywords:
Automorphisms of Kummer surfaces,
Picard lattice,
Leech lattice

Received by editor(s):
May 30, 1999

Received by editor(s) in revised form:
July 12, 1999

Published electronically:
September 13, 2000

Additional Notes:
The first author was supported by KOSEF(1999-2-102-002-3). The second author was supported in part by the Monbusho Grant-in Aid for Scientific Research (B) 10440005 and Houga 11874004.

Article copyright:
© Copyright 2000
American Mathematical Society