学术报告（Shin-ichi Matsumura 2024.5.9）

Abstract：In this talk, I would like to discuss the abundance conjecture for klt projective varieties satisfying the 'Miyaoka-type equality.' Initially, I will review a previous study (which is joint work with Masataka Iwai), where we established the abundance conjecture for minimal smooth projective varieties with vanishing second Chern class. These varieties satisfy the Miyaoka-type equality. Building on this fact, I will show that our previous study can be extended to varieties with Miyaoka-type equality. This talk is based on joint work with Masataka Iwai (Osaka) and Niklas Muller (Duisburg-Essen).