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A new example of an algebraic surface with canonical map of degree 16

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Abstract

In this note, we construct a minimal surface of general type with geometric genus \( p_g =4 \), self-intersection of the canonical divisor \( K^2 = 32\), and irregularity \( q = 1 \) such that its canonical map is an Abelian cover of degree 16 of \(\mathbb P^1\times \mathbb P^1\).

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Acknowledgements

The author is deeply indebted to Margarida Mendes Lopes for all her help and thanks Carlos Rito for many interesting conversations and suggestions. Thanks are also due to the anonymous referee for his/her thorough reading of the paper and suggestions.

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  1. Center for Mathematical Analysis, Geometry and Dynamical Systems Departamento de Matemática, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais, 1049-001, Lisboa, 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 PhD (LisMath), Programa de Doutoramento FCT - PD/448/2012.

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Bin, N. A new example of an algebraic surface with canonical map of degree 16 . Arch. Math. 113, 385–390 (2019). https://doi.org/10.1007/s00013-019-01343-4

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  • DOI: https://doi.org/10.1007/s00013-019-01343-4

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