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Dimca Hypersurfaces and Nagata Automorphisms
Author(s) -
Tsuji Miki
Publication year - 2000
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/1522-2616(200010)218:1<175::aid-mana175>3.0.co;2-s
Subject(s) - mathematics , automorphism , isomorphism (crystallography) , diffeomorphism , pure mathematics , dimension (graph theory) , polynomial , mathematical analysis , crystallography , chemistry , crystal structure
Choudary–Dimca [CD ] proved that Dimca hypersurfaces are diffeomorphic to ℝ 2 n and some of the hypersurfaces with dimension 3 are isomorphic to the plane and the embeddings are equivalent to linear embeddings. However, neither an isomorphism nor a trivializing polynomial automorphism was given explicitly. The purpose of the present paper is to give these explicitly.