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A Survey on L 2 Extension Problem

  • 2015
  • OriginalPaper
  • Chapter
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Author
Xiangyu Zhou
Published in
Complex Geometry and Dynamics
Publisher
Springer International Publishing

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Abstract

In the present paper, we’ll give a survey of our recent results on the L 2 extension problem with optimal estimate. We’ll consider the problem in various settings according to Ohsawa’s series papers, and present our optimal versions of Ohsawa’s L 2 extension theorems. We’ll discuss the problem in a general setting and present a solution of the problem in the general setting. We’ll give some applications of our results including a solution of the equality part of Suita’s conjecture. Finally, we present our recent solutions of Demailly’s strong openness conjecture on multiplier ideal sheaf and related problems.

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Metadata
Title
A Survey on L 2 Extension Problem
Author
Xiangyu Zhou
Copyright Year
2015
Book
Complex Geometry and Dynamics

Print ISBN: 978-3-319-20336-2

Electronic ISBN: 978-3-319-20337-9

Copyright Year: 2015

DOI
https://doi.org/10.1007/978-3-319-20337-9_13

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