A proof of the Ohsawa–Takegoshi theorem with sharp estimates

A proof of the Ohsawa–Takegoshi theorem with sharp estimates
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DOI:
10.2969/jmsj/06841461
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发表时间:
2014-07
影响因子:
0.7
通讯作者:
B. Berndtsson;L. Lempert
B. Berndtsson;L. Lempert
中科院分区:
数学4区
文献类型:
--
作者:
B. Berndtsson;L. Lempert

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我们给出了Ohsawa-Takegoshi扩张定理的一个证明,并给出了精确的估计。这个证明是基于Blocki的思想,使用域的变化来简化他对Suita猜想的证明,并且还使用了直接像丛的正性性质。
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.