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Classification of non-symplectic automorphisms of order 3 on K 3 surfaces

2010; Wiley; Volume: 284; Issue: 1 Linguagem: Inglês

10.1002/mana.200810070

1522-2616

Shingo Taki,

Coding theory and cryptography

Mathematische NachrichtenVolume 284, Issue 1 p. 124-135 Original Paper Classification of non-symplectic automorphisms of order 3 on K3 surfaces Shingo Taki, Corresponding Author Shingo Taki [email protected] Korea Institute for Advanced Study, Hoegiro 87, Dongdaemun-gu, Seoul 130-722, KoreaKorea Institute for Advanced Study, Hoegiro 87, Dongdaemun-gu, Seoul 130-722, KoreaSearch for more papers by this author Shingo Taki, Corresponding Author Shingo Taki [email protected] Korea Institute for Advanced Study, Hoegiro 87, Dongdaemun-gu, Seoul 130-722, KoreaKorea Institute for Advanced Study, Hoegiro 87, Dongdaemun-gu, Seoul 130-722, KoreaSearch for more papers by this author First published: 22 December 2010 https://doi.org/10.1002/mana.200810070Citations: 17Read the full textAboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinkedInRedditWechat Abstract In this paper, we study non-symplectic automorphisms of order 3 on algebraic K3 surfaces over which act trivially on the Néron-Severi lattice. In particular we shall characterize their fixed loci in terms of the invariants of 3-elementary lattices. © 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim Citing Literature Volume284, Issue1January 2011Pages 124-135 RelatedInformation