scholarly journals Cartan–Fubini type extension of holomorphic maps for Fano manifolds of Picard number 1

2001 ◽  
Vol 80 (6) ◽  
pp. 563-575 ◽  
Author(s):  
Jun-Muk Hwang ◽  
Ngaiming Mok
Keyword(s):  
Holomorphic Maps ◽  
Picard Number ◽  
Fano Manifolds ◽  
Extension Of Holomorphic Maps

scholarly journals The Numerical Class of a Surface on a Toric Manifold

2012 ◽  
Vol 2012 ◽  
pp. 1-9 ◽  
Author(s):  
Hiroshi Sato
Keyword(s):  
Toric Manifold ◽  
Picard Number ◽  
Fano Manifolds ◽  
Invariant Surface

In this paper, we give a method to describe the numerical class of a torus invariant surface on a projective toric manifold. As applications, we can classify toric 2-Fano manifolds of the Picard number 2 or of dimension at most 4.

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