Gamboa Mutuberria, José Manuel and Bujalance, E. and Etayo Gordejuela, J. Javier (1986) Automorphism-Groups Of Real Algebraic-Curves Of Genus-3. Proceedings of the Japan Academy Series A-Mathematical Sciences, 62 (1). pp. 40-42. ISSN 0386-2194
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Official URL: http://projecteuclid.org/euclid.pja/1195514498
Let C be an algebraic curve of genus 3, defined over the real field R. The automorphism group of C is studied in this paper. In a paper by the same authors [Mich. Math.
J. 33, 55-74 (1986; see 20043 below)], the hyperelliptic case was solved, the authors found 5 abstract groups in that case. In the paper under review, a full classification
is announced, in which 8 abstract groups appear. A sketch of one of the new cases is given, full proofs appeared in Mem. R. Acad. Cienc. Exactas Fis. Nat. Madrid, Ser. Cienc. Exactas 19 (1985; see the following review)].
|Uncontrolled Keywords:||automorphism groups of real algebraic curves; Klein surfaces|
|Subjects:||Sciences > Mathematics > Algebraic geometry|
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|Deposited On:||28 May 2012 08:41|
|Last Modified:||06 Feb 2014 10:23|
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