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(周向宇)Effectiveness of Demailly's strong openness conjecture and related problems
2015-05-05 | 编辑:

  论文题目:Effectiveness of Demailly's strong openness conjecture and related problems

  论文作者:Qi'an Guan(关启安),Xiangyu Zhou(周向宇)  

  文章介绍:

  In this article, stimulated by the effectiveness in Berndtsson's solution of the openness conjecture and continuing our solution of Demailly's strong openness conjecture, we discuss conditions to guarantee the effectiveness of the conjecture and establish such an effectiveness result. We explicitly point out a lower semicontinuity property of plurisubharmonic functions with a multiplier, which is implicitly contained in Guan and Zhou (2014, arXiv: 1401.7158). We also obtain optimal effectiveness of the conjectures of Demailly-Kollár and Jonsson-Mustată respectively. 

  所属学科:基础数学

  所属实验室或研究中心:华罗庚数学重点实验室

  论文:http://link.springer.com/article/10.1007/s00222-014-0575-3

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