A sharp effectiveness result of Demailly's strong openness conjecture

Abstract

In this article, we establish a sharp effectiveness result of Demailly's strong openness conjecture. We also establish a sharp effectiveness result related to a conjecture posed by Demailly and Kollár.

arXiv comment24 pages,no figures. The details of a unified approach to Lemma 2.4 and Lemma 4.4 were added in Section 4.2. Some typos were corrected

References in corpus (4)

• Effectiveness of Demailly's strong openness conjecture and related problems
• The openness conjecture for plurisubharmonic functions
• Optimal constant in an L^2 extension problem and a proof of a conjecture of Ohsawa
• Strong openness conjecture for plurisubharmonic functions

Cited by in corpus (3)

• General concavity of minimal $L^2$ integrals related to multiplier ideal sheaves
• Decreasing equisingular approximations with analytic singularities
• A proof of Saitoh's conjecture for conjugate Hardy $H^2$ kernels