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Logarithmic Kodaira dimension and zeros of holomorphic log-one-forms

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In this paper, we prove that the zero-locus of any global holomorphic log-one-form on a projective log-smooth pair ( X ;  D ) of log-general type must be non-empty. Click to show full abstract

In this paper, we prove that the zero-locus of any global holomorphic log-one-form on a projective log-smooth pair ( X ;  D ) of log-general type must be non-empty.

Keywords: holomorphic log; dimension zeros; log one; logarithmic kodaira; kodaira dimension; log

Journal Title: Mathematische Annalen
Year Published: 2017

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