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A surface of maximal canonical degree

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Abstract

It is known since the 1970s from a paper of Beauville that the degree of the rational canonical map of a smooth projective algebraic surface of general type is at most 36. Though it has been conjectured that a surface with optimal canonical degree 36 exists, the highest canonical degree known earlier for a minimal surface of general type was 16 by Persson. The purpose of this paper is to give an affirmative answer to the conjecture by providing an explicit surface.

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Authors and Affiliations

  1. Mathematics Department, Purdue University, West Lafayette, IN, 47907, USA

    Sai-Kee Yeung

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  1. Sai-Kee Yeung
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Correspondence to Sai-Kee Yeung.

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Communicated by Ngaiming Mok.

S. Yeung was partially supported by a grant from the National Science Foundation.

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Yeung, SK. A surface of maximal canonical degree. Math. Ann. 368, 1171–1189 (2017). https://doi.org/10.1007/s00208-016-1450-x

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