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arXiv · 1711.05854

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

Chuanhao Wei
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Abstract

In this paper, we prove that the zero-locus of any global holomorphic log-one-form on a projective log-smooth pair $\left(X,D\right)$ of log-general type must be non-empty. Applying this result, we give an answer to the algebraic hyperbolicity part of Shafarevich's conjecture, with the generic fiber being Kawamata-log-terminal (klt) and of log-general type.

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Chuanhao Wei. 2017-11-15. Logarithmic Kodaira dimension and zeros of holomorphic log-one-forms. https://arxiv.org/abs/1711.05854

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