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Upper bounds on the genus of hyperelliptic Albanese fibrations

Let S be a minimal irregular surface of general type, whose Albanese map induces a hyperelliptic fibration $f:\,S \to B$ of genus g. We prove a quadratic upper bound on the genus g (i.e., $g\leq h\big (\chi (\mathcal {O}_S)\big )$ , where h is a quadratic function). We also construct ex...

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Auteurs principaux: Songbo Ling, Xin Lü
Format: Artigo
Langue:Inglês
Publié: Cambridge University Press 2025-01-01
Collection:Forum of Mathematics, Sigma
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Accès en ligne:https://www.cambridge.org/core/product/identifier/S205050942500043X/type/journal_article
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