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Strong openness of multiplier ideal sheaves and optimal $L^{2}$ extension

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 Added by Qi'an Guan
 Publication date 2017
  fields
and research's language is English




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In this note, we reveal that our solution of Demaillys strong openness conjecture implies a matrix version of the conjecture; our solutions of two conjectures of Demailly-Koll{a}r and Jonsson-Mustatu{a} implies the truth of twist



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47 - Qian Guan 2018
In this note, we present a general version of the concavity of the minimal $L^{2}$ integrals related to multiplier ideal sheaves.
51 - Qian Guan , Zhitong Mi 2021
In this note, we present the concavity of the minimal $L^2$ integrals related to multiplier ideals sheaves on Stein manifolds. As applications, we obtain a necessary condition for the concavity degenerating to linearity, a characterization for 1-dimensional case, and a characterization for the equality in 1-dimensional optimal $L^{2}$ extension problem to hold.
58 - Qian Guan , Zheng Yuan 2021
In this article, we obtain an effectiveness result of strong openness property in $L^p$ with some applications.
66 - Qian Guan , Zheng Yuan 2021
In this article, we present a twisted version of strong openness property in $L^p$ with applications.
64 - Qian Guan 2017
In this article, we establish a sharp effectiveness result of Demaillys strong openness conjecture. We also establish a sharp effectiveness result related to a conjecture posed by Demailly and Kollar.
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