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Convergence in capacity on smooth hypersurfaces of compact Kähler manifolds

Vu Viet Hung; Hoang Nhat Quy — 2012

Annales Polonici Mathematici

We study restrictions of ω-plurisubharmonic functions to a smooth hypersurface S in a compact Kähler manifold X. The result obtained and the characterization of convergence in capacity due to S. Dinew and P. H. Hiep [to appear in Ann. Scuola Norm. Sup. Pisa Cl. Sci.] are used to study convergence in capacity on S.

A result on the comparison principle for the log canonical threshold of plurisubharmonic functions

Hai Mau Le; Hong Xuan Nguyen; Hung Viet Vu — 2014

Annales Polonici Mathematici

We prove a comparison principle for the log canonical threshold of plurisubharmonic functions under an assumption on complex Monge-Ampère measures.

Some characterizations of the class $_{m} (Ω)$ and applications

Hai Mau Le; Hong Xuan Nguyen; Hung Viet Vu — 2015

Annales Polonici Mathematici

We give some characterizations of the class $_{m} (Ω)$ and use them to establish a lower estimate for the log canonical threshold of plurisubharmonic functions in this class.

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Currently displaying 1 – 3 of 3

Convergence in capacity on smooth hypersurfaces of compact Kähler manifolds

A result on the comparison principle for the log canonical threshold of plurisubharmonic functions

Some characterizations of the class m ( Ω ) and applications

Some characterizations of the class $_{m} (Ω)$ and applications