تقرير
Categorical resolutions of filtered schemes
| العنوان: | Categorical resolutions of filtered schemes |
|---|---|
| المؤلفون: | De Deyn, Timothy |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Geometry, 14A22, 18G80, 14E15 |
| الوصف: | We give an alternative proof of the theorem by Kuznetsov and Lunts stating that any separated scheme of finite type over a field of characteristic zero admits a categorical resolution of singularities. Their construction makes use of the fact that every variety (over a field of characteristic zero) can be resolved by a finite sequence of blow-ups along smooth centres. We merely require the existence of (projective) resolutions. To accomplish this we put the $\mathcal{A}$-spaces of Kuznetsov and Lunts in a different light, viewing them instead as schemes endowed with finite filtrations. The categorical resolution is then constructed by gluing together differential graded categories obtained from a hypercube of finite length filtered schemes. Comment: 63 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2309.08330 |
| رقم الأكسشن: | edsarx.2309.08330 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |