Report
Nowhere vanishing 1-forms on varieties admitting a good minimal model
| العنوان: | Nowhere vanishing 1-forms on varieties admitting a good minimal model |
|---|---|
| المؤلفون: | Church, Benjamin |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Geometry, 14J10 |
| الوصف: | 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. Comment: 22 pages, comments welcome |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2410.22753 |
| رقم الانضمام: | edsarx.2410.22753 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |