Toric 2-Fano manifolds and extremal contractions

Proceedings of the Japan Academy, Series A. Mathematical Sciences

article

Hiroshi Sato¹ 

[1] Department of Applied Mathematics, Faculty of Sciences, Fukuoka University

关键词: Toric variety;    Mori theory;    2-Fano manifold.;   

DOI  :  10.3792/pjaa.92.121

学科分类：数学（综合）

来源: Japan Academy

【 摘 要 】

We show that for a projective toric manifold with the ample second Chern character, if there exists a Fano contraction, then it is isomorphic to the projective space. For the case that the second Chern character is nef, the Fano contraction gives either a projective line bundle structure or a direct product structure. We also show that, for a toric weakly 2-Fano manifold, there does not exist a divisorial contraction to a point.

【 授权许可】

Unknown