Add to ORKGIn this article, we present a concavity property of the minimal $L^{2}$ integrals related to multiplier ideal sheaves with Lebesgue measurable gain on weakly pseudoconvex K\"ahler manifolds. As applications, we give a necessary condition for the concavity degenerating to linearity, and a characterization for the holding of the equality in optimal jets $L^2$ extension problem on open Riemann surfaces.Comment: 48 pages, comments are welcomed. arXiv admin note: substantial text overlap with arXiv:2209.0363
In this paper we derive a Gauss-Bonnet formula for the renormalized area of Graham-Witten minimal hy...
Motivated by the study of the growth rate of the number of geodesics in flat surfaces with bounded l...
Motivated by the study of the growth rate of the number of geodesics in flat surfaces with bounded l...
In this article, we consider a modified version of minimal $L^2$ integrals on sublevel sets of pluri...
In this article, we present characterizations of the concavity property of minimal $L^2$ integrals d...
In this article, we consider minimal $L^2$ integrals on the sublevel sets of plurisubharmonic functi...
In this article, we consider the minimal $L^2$ integrals related to modules at boundary points on fi...
Jury:Henri SKODA (Université de Paris 6), Président; Laurent BONAVERO (Université de Grenoble 1); Je...
By studying the variable denominators introduced by X. Zhou–L. Zhu, we generalize the results of D. ...
This note is an announcement of the author's recent works [1, 2, 3] on Levi-flat real hypersurfaces,...
We study the following optimal $L^2$ extension problem of openness type: given a complex manifold $M...
In this article, we get properties for singular (dual) Nakano semi-positivity and obtain singular ty...
It is known that projective minimal models satisfy the celebrated Miyaoka-Yau inequalities. In this ...
In this note, we establish the strong openness and stability property of multiplier submodule sheave...
In this paper we derive a Gauss-Bonnet formula for the renormalized area of Graham-Witten minimal hy...
In this paper we derive a Gauss-Bonnet formula for the renormalized area of Graham-Witten minimal hy...
Motivated by the study of the growth rate of the number of geodesics in flat surfaces with bounded l...
Motivated by the study of the growth rate of the number of geodesics in flat surfaces with bounded l...
In this article, we consider a modified version of minimal $L^2$ integrals on sublevel sets of pluri...
In this article, we present characterizations of the concavity property of minimal $L^2$ integrals d...
In this article, we consider minimal $L^2$ integrals on the sublevel sets of plurisubharmonic functi...
In this article, we consider the minimal $L^2$ integrals related to modules at boundary points on fi...
Jury:Henri SKODA (Université de Paris 6), Président; Laurent BONAVERO (Université de Grenoble 1); Je...
By studying the variable denominators introduced by X. Zhou–L. Zhu, we generalize the results of D. ...
This note is an announcement of the author's recent works [1, 2, 3] on Levi-flat real hypersurfaces,...
We study the following optimal $L^2$ extension problem of openness type: given a complex manifold $M...
In this article, we get properties for singular (dual) Nakano semi-positivity and obtain singular ty...
It is known that projective minimal models satisfy the celebrated Miyaoka-Yau inequalities. In this ...
In this note, we establish the strong openness and stability property of multiplier submodule sheave...
In this paper we derive a Gauss-Bonnet formula for the renormalized area of Graham-Witten minimal hy...
In this paper we derive a Gauss-Bonnet formula for the renormalized area of Graham-Witten minimal hy...
Motivated by the study of the growth rate of the number of geodesics in flat surfaces with bounded l...
Motivated by the study of the growth rate of the number of geodesics in flat surfaces with bounded l...