In this paper, we reveal that our solution of Demailly's strong openness conjecture implies a matrix version of the conjecture; our solutions of two conjectures of Demailly-Kollar and Jonsson-Mustata implies the truth of twisted versions of the strong openness conjecture; our optimal L~2 extension implies Berndtsson's positivity of vector bundles associated to holomorphic fibrations over a unit disc.中国科学引文数据库(CSCD)6967-9766
In this article, we characterize plurisubharmonic functions of Lelong number one at the origin, such...
textThis thesis concerns the use of perverse sheaves with coefficients in commutative rings and in p...
The girth of a graph is the length of the shortest cycle in a graph, and the abelian girth of a grap...
In this article, we solve the strong openness conjecture on the multiplier ideal sheaf associated to...
In this note, we establish the strong openness and stability property of multiplier submodule sheave...
We give a new proof of the Mordell–Lang conjecture in positive characteristic, in the situation wher...
We study the following optimal $L^2$ extension problem of openness type: given a complex manifold $M...
The two main parts of this doctoral thesis are a theorem that tight closure is contained in continuo...
Abstract. We reduce the Openness Conjecture of Demailly and Kollár on the singularities of plurisub...
We give a new proof of the Mordell-Lang conjecture in positive characteristic, in the situation wher...
In this note, we establish an L-2 extension theorem with an optimal estimate for semi-positive vecto...
We associate a family of ideal sheaves to any Q-effective divisor on a complex manifold, called the ...
In this article, we present characterizations of the concavity property of minimal $L^2$ integrals d...
In this thesis, we investigate some open questions involving tight closure and big Cohen-Macaulay al...
In this thesis, we investigate some open questions involving tight closure and big Cohen-Macaulay al...
In this article, we characterize plurisubharmonic functions of Lelong number one at the origin, such...
textThis thesis concerns the use of perverse sheaves with coefficients in commutative rings and in p...
The girth of a graph is the length of the shortest cycle in a graph, and the abelian girth of a grap...
In this article, we solve the strong openness conjecture on the multiplier ideal sheaf associated to...
In this note, we establish the strong openness and stability property of multiplier submodule sheave...
We give a new proof of the Mordell–Lang conjecture in positive characteristic, in the situation wher...
We study the following optimal $L^2$ extension problem of openness type: given a complex manifold $M...
The two main parts of this doctoral thesis are a theorem that tight closure is contained in continuo...
Abstract. We reduce the Openness Conjecture of Demailly and Kollár on the singularities of plurisub...
We give a new proof of the Mordell-Lang conjecture in positive characteristic, in the situation wher...
In this note, we establish an L-2 extension theorem with an optimal estimate for semi-positive vecto...
We associate a family of ideal sheaves to any Q-effective divisor on a complex manifold, called the ...
In this article, we present characterizations of the concavity property of minimal $L^2$ integrals d...
In this thesis, we investigate some open questions involving tight closure and big Cohen-Macaulay al...
In this thesis, we investigate some open questions involving tight closure and big Cohen-Macaulay al...
In this article, we characterize plurisubharmonic functions of Lelong number one at the origin, such...
textThis thesis concerns the use of perverse sheaves with coefficients in commutative rings and in p...
The girth of a graph is the length of the shortest cycle in a graph, and the abelian girth of a grap...