Nonexistence of decreasing equisingular approximations with logarithmic poles

Qi'an Guan

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arXiv · 1506.04581

Nonexistence of decreasing equisingular approximations with logarithmic poles

Qi'an Guan

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Abstract

In this article, we present that for any complex manifold whose dimension is bigger than one, there exists a multiplier ideal sheaf such that there don't exist equisingular weights with logarithmic poles, which are not smaller than the orginal weight. A direct consequence is the nonexistence of decreasing equisingular approximations with logarithmic poles.

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Qi'an Guan. 2015-06-15. Nonexistence of decreasing equisingular approximations with logarithmic poles. https://arxiv.org/abs/1506.04581

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