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# 東工大 数論・幾何学セミナー： Kirti Joshi 氏

2018年4月20日（金）

15:30～17:00

Kirti Joshi 氏（The University of Arizona）

On Chern class inequalities for surfaces in positive characteristic
アブストラクト

I will explain my proof of the inequality $c_1^2\leq 5c_2$ for a class of smooth, projective surfaces over algebraically closed fields of characteristic $p>0$. My approach is based on a study of slopes of Frobenius morphism on crystalline cohomology of $X$ and of the de Rham-Witt complex of $X$. In particular my methods do not require any lifting hypothesis.