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Hyperelliptically fibred surfaces with nodes

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Abstract

Using elementary methods of algebraic geometry, we present constructions of hyperelliptically fibred surfaces containing nodal fibres.

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Acknowledgements

We greatly appreciate thorough and comprehensive referee report which contributed to improve the quality of our text. We are grateful to Francesco Polizzi for pointing out necessary corrections to text. We thank Maria Pilar Garcia del Moral Zabala and Camilo las Heras for asking us to write this note about existence and numerical invariants of hyperelliptic fibrations. Ballico is a member of MUR and GNSAGA of INdAM (Italy). Gasparim and Suzuki thank the University of Trento for the support and excellent hospitality during their visit under the research in pairs program of CIRM. Suzuki was supported by Grant 2021/11750-7 São Paulo Research Foundation—FAPESP. Gasparim is a senior associate the Abdus Salam International Centre for Theoretical Physics, Italy.

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Authors and Affiliations

  1. Department of Mathematics, University of Trento, Trento, Italy

    Edoardo Ballico

  2. Departamento de Matemáticas, Universidad Católica del Norte, Antofagasta, Chile

    Elizabeth Gasparim

  3. Instituto de Matemática e Estatística, Universidade de São Paulo, São Paulo, Brazil

    Bruno Suzuki

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  1. Edoardo Ballico
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  2. Elizabeth Gasparim
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  3. Bruno Suzuki
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Correspondence to Elizabeth Gasparim.

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Ballico, E., Gasparim, E. & Suzuki, B. Hyperelliptically fibred surfaces with nodes. Ann Univ Ferrara (2024). https://doi.org/10.1007/s11565-024-00507-7

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