scholarly journals On Images of Weak Fano Manifolds II

2014 ◽  
pp. 201-207 ◽  
Author(s):  
Osamu Fujino ◽  
Yoshinori Gongyo
Keyword(s):  
Fano Manifolds ◽  
Weak Fano

scholarly journals On images of weak Fano manifolds

2010 ◽  
Vol 270 (1-2) ◽  
pp. 531-544 ◽  
Author(s):  
Osamu Fujino ◽  
Yoshinori Gongyo
Keyword(s):  
Fano Manifolds ◽  
Weak Fano

scholarly journals Applications of the Ohsawa–Takegoshi Extension Theorem to Direct Image Problems

2020 ◽  
Author(s):  
Ya Deng
Keyword(s):  
Extension Theorem ◽  
General Setting ◽  
Affirmative Answer ◽  
Direct Image ◽  
Fano Manifolds ◽  
Optimal Bound ◽  
Seshadri Constant ◽  
Image Problems ◽  
Weak Fano

Abstract In the 1st part of the paper, we study a Fujita-type conjecture by Popa and Schnell and obtain an effective bound on the generic global generation of direct images of twisted pluricanonical bundles. We also point out the relation between the Seshadri constant and the optimal bound. In the 2nd part, we give an affirmative answer to a question by Demailly, Peternell, and Schneider in a more general setting. As byproducts of our proofs, we extend a result by Fujino and Gongyo on images of weak Fano manifolds to the Kawamata log terminal settings and refine a theorem by Broustet and Pacienza on the rational connectedness of the image.

Estimation of Ricci tensor on certain Fano manifolds

2000 ◽  
Vol 233 (3) ◽  
pp. 481-505 ◽  
Author(s):  
Adnène Ben Abdesselem ◽  
Pascal Cherrier
Keyword(s):  
Ricci Tensor ◽  
Fano Manifolds

Double Covers of Some Fano Manifolds as Hyperplane Sections

1998 ◽  
Vol 193 (1) ◽  
pp. 93-110
Author(s):  
Antonio Lanteri ◽  
Gianluca Occhetta
Keyword(s):  
Fano Manifolds ◽  
Double Covers ◽  
Hyperplane Sections
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