Real Algebraic and Analytic Geometry |

Imaginary automorphisms on real hyperelliptic curves.

e-mail: ,

homepages: http://fraise.univ-brest.fr/~huisman/,
http://www.dima.unige.it/~lattarul/

Submission: 2003, March 14.

*Abstract:
A real hyperelliptic curve X is said to be Gaussian if there is
an automorphism a of the complexification of X such that
its complex conjugate automorphism is equal to [-1] a,
where [-1] denotes the hyperelliptic involution on the complexification
of X. Gaussian curves arise naturally in several contexts, for
example when one studies real Jacobians. In the present paper we study
the properties of Gaussian curves and we describe their moduli spaces.*

Mathematics Subject Classification (2000): 14H15, 14H37, 14P99, 30F50.

Keywords and Phrases: hyperelliptic curve, automorphism, moduli space, ramified double covering.

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