Nonexistence of decreasing equisingular approximations with logarithmic poles
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🧮 math.CV
math.AG
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equisingularlogarithmicpolesapproximationsdecreasingnonexistencetherearticle
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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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