Concavity of Minimal L2 Integrals Related to Multiplier Ideal Sheaves
Qi’an Guan, Zhitong Mi
Peking Mathematical Journal ›› 2022, Vol. 6 ›› Issue (2) : 393-457.
Concavity of Minimal L2 Integrals Related to Multiplier Ideal Sheaves
In this article, 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.
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