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Complex automorphism groups of real algebraic curves of genus 2. (English) Zbl 0985.14013
A real algebraic curve \((X, \sigma)\) is a smooth irreducible projective curve \(X\) of genus \(g\) together with an anti-conformal involution \(\sigma\). The real automorphism group \(\text{Aut}( X, \sigma)\) of \(X\) consists of those conformal automorphisms from \(\text{Aut}(X)\) which commute with \(\sigma\). The author fully classifies all groups which can be obtained as real automorphism groups of genus 2 surfaces.

14H37 Automorphisms of curves
14E07 Birational automorphisms, Cremona group and generalizations
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