Slope inequalities and a Miyaoka–Yau type inequality
نویسندگان
چکیده
For a minimal smooth projective surface $S$ of general type over field characteristic $p>0$, we prove that $$ K^2\_S\le 32\chi(\mathcal{O}\_S). Moreover, if $18\chi(\mathcal{O}\_S)\0$, which answers completely question Shepherd-Barron.
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ژورنال
عنوان ژورنال: Journal of the European Mathematical Society
سال: 2021
ISSN: ['1435-9855', '1435-9863']
DOI: https://doi.org/10.4171/jems/1183