9 papers
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…
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…