On Chern number inequality in dimension 3

Jheng-Jie Chen

We prove that if $X--->X^{+}$ is a threefold terminal flip, then $c_1(X).c_2(X)\le c_1(X^{+}).c_2(X^{+})$ where $c_1(X)$ and $c_2(X)$ denote the Chern classes. This gives the affirmati…