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arXiv 1401.4833math.CV
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加权对数典范阈值

The weighted log canonical threshold

Pham Hoang Hiep

摘要:

在本文中,我们展示了如何将Ohsawa和Takegoshi的原始$L^2$ -扩张定理应用于与多重次调和函数相关联的乘子理想层的标准基。这样,我们就能够重新证明强开性猜想,并得到一个有效的版本的加权对数典型阈值的连续性定理。

英文摘要:

In this note, we show how to apply the original $L^2$-extension theorem of Ohsawa and Takegoshi to the standard basis of a multiplier ideal sheaf associated with a plurisubharmonic function. In this way, we are able to reprove the strong openness conjecture and to obtain an effective version of the semicontinuity theorem for weighted log canonical thresholds.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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