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arXiv · 2410.22753

Nowhere vanishing 1-forms on varieties admitting a good minimal model

Benjamin Church
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Abstract

We prove several conjectures relating the existence of nonvanishing 1- forms to smooth morphisms over abelian varieties, assuming the existence of good minimal models. The proof involves a decomposition result for a family of Calabi-Yau varieties equipped with a surjective map to an abelian scheme. In the uniruled case, supposing the MRC base admits a good minimal model, we also achieve a structure theorem for those varieties admitting nowhere vanishing 1-forms.

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Benjamin Church. 2024-10-30. Nowhere vanishing 1-forms on varieties admitting a good minimal model. https://arxiv.org/abs/2410.22753

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