A Survey of Extremal Rays for Fano Manifolds

In this expository note, we give an introduction to algebraic geometry with the emphasis on Fanomanifolds which forms one of the building blocks of algebraic varieties. After a brief review on the theory of intersection numbers, we introduce numerical invariants on Fano manifolds and discuss related problems.

Keywords: algebraicvarieties, Fano manifolds, extremal ray

E-mail: tsukioka@tokai-u.jp