Multiplier ideal sheaves

2010 ◽  
pp. 67-78
Keyword(s):  
Ideal Sheaves ◽  
Multiplier Ideal

scholarly journals Characterization of multiplier ideal sheaves with weights of Lelong number one

2015 ◽  
Vol 285 ◽  
pp. 1688-1705 ◽  
Author(s):  
Qi'an Guan ◽  
Xiangyu Zhou
Keyword(s):  
Lelong Number ◽  
Ideal Sheaves ◽  
Multiplier Ideal

MULTIPLIER IDEAL SHEAVES ON FIBRED PRODUCTS OF CERTAIN SINGULAR VARIETIES

2006 ◽  
Vol 17 (04) ◽  
pp. 393-399
Author(s):  
MARKUS WESSLER
Keyword(s):  
Singular Varieties ◽  
Central Result ◽  
Ideal Sheaves ◽  
Multiplier Ideal ◽  
Natural Way

In [3], we discussed the compatibility of multiplier ideal sheaves with fibred products. Multiplier ideal sheaves on singular varieties generalize in a natural way the ℚ-divisors on nonsingular varieties. However, there was one central result in [3] which we proved only for nonsingular varieties. In this paper we extend this to a certain class of singular varieties.

Multiplier Ideal Sheaves

2004 ◽  
pp. 139-231 ◽  
Author(s):  
Robert Lazarsfeld
Keyword(s):  
Ideal Sheaves ◽  
Multiplier Ideal

scholarly journals Multiplier ideal sheaves and integral invariants on toric Fano manifolds

2010 ◽  
Vol 350 (2) ◽  
pp. 245-267
Author(s):  
Akito Futaki ◽  
Yuji Sano
Keyword(s):  
Fano Manifolds ◽  
Integral Invariants ◽  
Ideal Sheaves ◽  
Multiplier Ideal

Subadditivity of generalized Kodaira dimensions and extension theorems

2020 ◽  
Vol 31 (12) ◽  
pp. 2050098
Author(s):  
Xiangyu Zhou ◽  
Langfeng Zhu
Keyword(s):  
Extension Theorem ◽  
Kodaira Dimension ◽  
Kähler Manifolds ◽  
Kahler Manifolds ◽  
Extension Theorems ◽  
Crucial Step ◽  
Ideal Sheaves ◽  
Multiplier Ideal ◽  
Singular Weights ◽  
Optimal Formula

In this paper, we introduce the notion of generalized Kodaira dimension with multiplier ideal sheaves, and prove the subadditivity of these generalized Kodaira dimensions for certain Kähler fibrations, which was originally obtained for Kodaira dimensions of algebraic fiber spaces by Kawamata and Viehweg. Our method is analytic and based on some new results in recent years. The crucial step in our proof is to prove an [Formula: see text] extension theorem for twisted pluricanonical sections on compact Kähler manifolds. Moreover, we also discuss the relation between two previous optimal [Formula: see text] extension theorems with singular weights on weakly pseudoconvex Kähler manifolds.

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