Automorphism-Groups Of Real Algebraic-Curves Of Genus-3
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1986
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Japan Acad
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Bujalance García, E., Gamboa Mutuberria, J. M. & Etayo Gordejuela, J. J. , Emilio, et al. «Automorphism groups of real algebraic curves of genus $3$». Proceedings of the Japan Academy, Series A, Mathematical Sciences, vol. 62, n.o 1, enero de 1986. DOI.org (Crossref), https://doi.org/10.3792/pjaa.62.40.
Abstract
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)].