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A family of
arithmetic surfaces of genus 3
Jordi Guàrdia |
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Vol. 212 (2003), No. 1, 71–91
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Abstract |
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The aim of this paper is the study of the genus 3 curves  from the Arakelov viewpoint. The Jacobian of the curves Cn splits as a product of elliptic curves, and this fact gives enough arithmetical datum to determine the stable model and the canonical sheaf of the curves. We use this information to look for explicit expressions of the modular height and the self-intersection of the dualizing sheaf of the curves Cn. |
Milestones
Received: 22 November 2000
Revised: 14 January 2003
Published: 1 November 2003
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Authors |
| Jordi Guàrdia | |
| Dept. Matemàtica Aplicada IV Escola Universitària Politècnica de Vilanova i la Geltrú Universitat Politècnica de Catalunya E-08800 Vilanova i la Geltrú Barcelona - Catalunya Spain |
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