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THE OPTIMAL JET $L^{2}$ EXTENSION OF OHSAWA–TAKEGOSHI TYPE

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We prove the $L^{2}$ extension theorem for jets with optimal estimate following the method of Berndtsson–Lempert. For this purpose, following Demailly’s construction, we consider Hermitian metrics on jet vector bundles. Click to show full abstract

We prove the $L^{2}$ extension theorem for jets with optimal estimate following the method of Berndtsson–Lempert. For this purpose, following Demailly’s construction, we consider Hermitian metrics on jet vector bundles.

Keywords: extension ohsawa; jet; optimal jet; extension; ohsawa takegoshi; jet extension

Journal Title: Nagoya Mathematical Journal
Year Published: 2018

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