Existence of g1g–2’s on a double covering of a hyperelliptic curve |
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Authors: | Rossana Chiavacci Elena Polastri |
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Affiliation: | (1) Dipartimento di Matematica, Università di Ferrara, via Machiavelli 35, 44100 Ferrara, Italy |
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Abstract: | Abstract Let X be a non–hyperelliptic curve of genus g which is a double covering of a hyperelliptic curve C of genus h. In this paper, we prove that, if h≥ 3 and g≥ 4h+5, then X admits a complete, base point free g1g–2. Moreover, if h=3, this result holds under the mild condition g≥ 4h+3=15. Keywords: Double covering of hyperelliptic curves, Pencil of degree g–2 Mathematics Subject Classification (2000:) 14H30, 14H45 |
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