Slope inequalities and a Miyaoka–Yau type inequality
Yi Gu
Soochow University, Jiangsu, ChinaXiaotao Sun
Tianjin University, ChinaMingshuo Zhou
Tianjin University, China
![Slope inequalities and a Miyaoka–Yau type inequality cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-jems-volume-25-issue-2.png&w=3840&q=90)
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