scholarly journals An injectivity theorem with multiplier ideal sheaves of singular metrics with transcendental singularities

2017 ◽  
Vol 27 (2) ◽  
pp. 305-337 ◽  
Author(s):  
Shin-ichi Matsumura
Keyword(s):  
Singular Metrics ◽  
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.

scholarly journals Some applications of the theory of harmonic integrals

2015 ◽  
Vol 2 (1) ◽  
Author(s):  
Shin-ichi Matsumura
Keyword(s):  
Ideal Sheaf ◽  
Cohomology Groups ◽  
Multiplier Ideal Sheaf ◽  
Singular Metrics ◽  
Adjoint Bundle ◽  
Multiplier Ideal

AbstractIn this survey, we present recent techniques on the theory of harmonic integrals to study the cohomology groups of the adjoint bundle with the multiplier ideal sheaf of singular metrics. As an application, we give an analytic version of the injectivity theorem.

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