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Imaginary automorphisms on real hyperelliptic curves |
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| Authors: | J. Huisman M. Lattarulo |
| Affiliation: | aDépartement de Mathématiques, Laboratoire CNRS UMR 6205, UFR Sciences et Techniques, Université de Bretagne Occidentale, 6 Avenue Victor Le Gorgeu, CS 93837, 29238 Brest Cedex 3, France bDipartimento di Matematica, Università di Genova, Via Dodecaneso 35, 16146 Genova, Italy |
| Abstract: | A real hyperelliptic curve X is said to be Gaussian if there is an automorphism such that , where [-1] denotes the hyperelliptic involution on 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. |
| Keywords: | 14H15 14H37 14P99 30F50 |
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