arXiv Open Access 2024

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

Benjamin Church

Lihat Sumber

Abstrak

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.

Topik & Kata Kunci

math.AG

Penulis (1)

Benjamin Church

Format Sitasi

APA MLA BibTeX

Church, B. (2024). Nowhere vanishing 1-forms on varieties admitting a good minimal model. https://arxiv.org/abs/2410.22753

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓