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Transactions of the American Mathematical Society

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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
Published electronically: September 13, 2000
MathSciNet review: 1806732
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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

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

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