Mr. Sheng-Chun Tsai (Department of Mathematics, National Cheng Kung University)
Title
Rationality Theorem
Abstract
Let (X,D) be a proper klt pair, H be a nef and big Catier divisor, we will prove r=sup{t\in\R | H+t(K_X+D) is nef} is a rational number and its denominator is bounded by dimX and Cartier index of K_X.