3 citations · 6 across the 12 of their papers we have counts for
12 papers
On Skoda's theorem for Nadel-Lebesgue multiplier ideal sheaves on singular complex spaces and regularity of weak Kähler-Einstein metrics
Zhenqian Li
In this article, we will characterize regular points respectively by the local vanishing, positivity of the Ricci curvature and -solvability of the -equatio…
On a question of Kollár
Zhenqian Li
In this note, we establish a generalized analytic inversion of adjunction via the Nadel-Ohsawa multiplier/adjoint ideal sheaves associated to plurisubharmonic (psh) functions for l…
Grauert-Riemenschneider multiplier ideal sheaves and the (optimal) Briançon-Skoda number
Zhenqian Li
The goal of this note is to survey some recent results on the Grauert-Riemenschneider multiplier ideal sheaves on any (reduced) complex space of pure dimension. In particular, we o…
A note on multiplier ideal sheaves on complex spaces with singularities
Zhenqian Li
The goal of this note is to present some recent results of our research concerning multiplier ideal sheaves on complex spaces and singularities of plurisubharmonic functions. We fi…
Equivariant CR minimal immersions from into
Zejun Hu, Jiabin Yin, Zhenqi Li
The equivariant CR minimal immersions from the round -sphere into the complex projective space have been classified by the third author explicitly (J London…
A support function of the weighted integrations on the superlevel sets of the weights
Qi'an Guan, Zhenqian Li, Jiafu Ning
In this article, we establish a support function of the weighted integrations on the superlevel sets of the weights with optimal asymptoticity near the positive infinity, whi…
A remark on equisingular approximations of quasi-plurisubharmonic functions
Qi'an Guan, Zhenqian Li
In this note, we will present global equisingular approximations of quasi-plurisubharmonic functions with stable analytic pluripolar sets on compact complex manifolds.
Analytic adjoint ideal sheaves associated to plurisubharmonic functions
Qi'an Guan, Zhenqian Li
In this article, we will present that the analytic adjoint ideal sheaves associated to plurisubharmonic functions are not coherent.
Cluster points of jumping coefficients and equisingularties of plurisubharmonic functions
Qi'an Guan, Zhenqian Li
In this article, we will construct a plurisubharmonic function whose jumping coefficients have a cluster point. We also give a class of plurisubharmonic functions which cannot be e…
Multiplier ideal sheaves with weights of log canonical threshold one
Qi'an Guan, Zhenqian Li
In this article, we will characterize the multiplier ideal sheaves with weights of log canonical threshold one by restricting the weights to complex regular surface.
Estimation of weighted norm related to Demailly's Strong Openness Conjecture
Qi'an Guan, Zhenqian Li, Xiangyu Zhou
In the present article, we obtain an estimation of the weighted norm near the singularities of plurisubharmonic weight related to Demailly's strong openness conjecture, which…
A Characterization of regular points by Extension Theorem
Qi'an Guan, Zhenqian Li
In this article, we present that the germ of a complex analytic set at the origin in is regular if and only if the related extension theorem holds. We also obt…