scholarly journals Geodesic rays and Kähler–Ricci trajectories on Fano manifolds

2017 ◽  
Vol 369 (7) ◽  
pp. 5069-5085 ◽  
Author(s):  
Tamás Darvas ◽  
Weiyong He
Keyword(s):  
Fano Manifolds ◽  
Geodesic Rays

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

scholarly journals C1,1 regularity for degenerate complex Monge–Ampère equations and geodesic rays

2018 ◽  
Vol 43 (2) ◽  
pp. 292-312 ◽  
Author(s):  
Jianchun Chu ◽  
Valentino Tosatti ◽  
Ben Weinkove
Keyword(s):  
Geodesic Rays ◽  
Monge Ampere

scholarly journals ADJUNCTION FOR VARIETIES WITH A ℂ* ACTION

2020 ◽  
Author(s):  
ELEONORA A. ROMANO ◽  
JAROSŁAW A. WIŚNIEWSKI
Keyword(s):  
Fixed Point ◽  
Line Bundle ◽  
Normal Bundle ◽  
Ample Line Bundle ◽  
Projective Manifold ◽  
Fano Manifolds ◽  
Adjunction Theory ◽  
Rank 2 ◽  
General Orbit ◽  
Complex Projective

Abstract Let X be a complex projective manifold, L an ample line bundle on X, and assume that we have a ℂ* action on (X;L). We classify such triples (X; L;ℂ*) for which the closure of a general orbit of the ℂ* action is of degree ≤ 3 with respect to L and, in addition, the source and the sink of the action are isolated fixed points, and the ℂ* action on the normal bundle of every fixed point component has weights ±1. We treat this situation by relating it to the classical adjunction theory. As an application, we prove that contact Fano manifolds of dimension 11 and 13 are homogeneous if their group of automorphisms is reductive of rank ≥ 2.

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