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- W1603957618 abstract "In this article, we solve the strong openness conjecture on the multiplier ideal sheaves for the plurisubharmonic functions posed by Demailly. We prove two conjectures about the growth of the volumes of the sublevel sets of plurisubharmonic functions related to the complex singularity exponents and quasi-plurisubharmonic functions related to the jumping numbers, which were posed by Demailly-Kollar and Jonsson-Mustata respectively. We give a new proof of a lower semicontinuity conjecture posed by Demailly-Kollar without using the ACC conjecture. Other applications by combining with well-known results are also mentioned." @default.
- W1603957618 created "2016-06-24" @default.
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- W1603957618 date "2014-01-28" @default.
- W1603957618 modified "2023-09-27" @default.
- W1603957618 title "Strong openness conjecture and related problems for plurisubharmonic functions" @default.
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