تقرير
Polarized endomorphisms of log Calabi-Yau pairs
| العنوان: | Polarized endomorphisms of log Calabi-Yau pairs |
|---|---|
| المؤلفون: | Moraga, Joaquín, Yáñez, José Ignacio, Yeong, Wern |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Geometry, Primary 08A35, 14M25, Secondary 14F35 |
| الوصف: | Let $(X,\Delta)$ be a dlt log Calabi-Yau pair admitting a polarized endomorphism. We show that $(X,\Delta)$ is a finite quotient of a toric log Calabi-Yau fibration over an abelian variety. We provide an example which shows that the previous statement does not hold if we drop the dlt condition of $(X,\Delta)$ even if $X$ is a smooth variety. Given a klt type variety $X$ and a log Calabi-Yau pair $(X,\Delta)$ admitting a polarized endomorphism, we show that a suitable birational modification of $(X,\Delta)$ is a finite quotient of a toric log Calabi-Yau fibration over an abelian variety. Comment: 24 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2406.18092 |
| رقم الأكسشن: | edsarx.2406.18092 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |