Open Access
December 2016 Toric 2-Fano manifolds and extremal contractions
Hiroshi Sato
Proc. Japan Acad. Ser. A Math. Sci. 92(10): 121-124 (December 2016). DOI: 10.3792/pjaa.92.121


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.


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Hiroshi Sato. "Toric 2-Fano manifolds and extremal contractions." Proc. Japan Acad. Ser. A Math. Sci. 92 (10) 121 - 124, December 2016.


Published: December 2016
First available in Project Euclid: 2 December 2016

zbMATH: 1375.14177
MathSciNet: MR3579193
Digital Object Identifier: 10.3792/pjaa.92.121

Primary: 14M25
Secondary: 14E30 , 14J45

Keywords: 2-Fano manifold , Mori theory , toric variety

Rights: Copyright © 2016 The Japan Academy

Vol.92 • No. 10 • December 2016
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