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Some unlimited families of minimal surfaces of general type with the canonical map of degree 8

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Abstract

In this note, we construct nine families of projective complex minimal surfaces of general type having the canonical map of degree 8 and irregularity 0 or 1. For six of these families the canonical system has a non trivial fixed part.

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Acknowledgements

The author is deeply indebted to Margarida Mendes Lopes for all her help. Many thanks are also due to the anonymous referee for his/her suggestions.

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  1. Departamento de Matemática, Center for Mathematical Analysis, Geometry and Dynamical Systems, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais, 1049-001, Lisbon, Portugal

    Nguyen Bin

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  1. Nguyen Bin
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Correspondence to Nguyen Bin.

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The author is supported by Fundação para a Ciência e Tecnologia (FCT), Portugal under the framework of the program Lisbon Mathematics Ph.D. (LisMath), Programa de Doutoramento FCT - PD/BD/113632/2015.

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Bin, N. Some unlimited families of minimal surfaces of general type with the canonical map of degree 8. manuscripta math. 163, 13–25 (2020). https://doi.org/10.1007/s00229-019-01147-4

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  • DOI: https://doi.org/10.1007/s00229-019-01147-4

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