A proof of the Ohsawa-Takegoshi theorem with sharp estimates
Journal article, 2016
We give a proof of the Ohsawa-Takegoshi extension theorem with sharp estimates. The proof is based on ideas of Blocki to use variations of domains to simplify his proof of the Suita conjecture, and also uses positivity properties of direct image bundles.
extension
Bergman kernel
vector bundles
Author
Bo Berndtsson
University of Gothenburg
Chalmers, Mathematical Sciences, Algebra and geometry
L. Lempert
Purdue University
Journal of the Mathematical Society of Japan
0025-5645 (ISSN) 18811167 (eISSN)
Vol. 68 4 1461-1472Subject Categories (SSIF 2011)
Mathematics
DOI
10.2969/jmsj/06841461