Slope inequalities and a Miyaoka–Yau type inequality

  • Yi Gu

    Soochow University, Jiangsu, China
  • Xiaotao Sun

    Tianjin University, China
  • Mingshuo Zhou

    Tianjin University, China
Slope inequalities and a Miyaoka–Yau type inequality cover
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Abstract

For a minimal smooth projective surface of general type over a field of characteristic , we prove that

Moreover, if , the Albanese morphism of must induce a genus 2 fibration. A classification of surfaces with is also given. The inequality also implies , which answers completely a question of Shepherd-Barron.

Cite this article

Yi Gu, Xiaotao Sun, Mingshuo Zhou, Slope inequalities and a Miyaoka–Yau type inequality. J. Eur. Math. Soc. 25 (2023), no. 2, pp. 611–632

DOI 10.4171/JEMS/1183