تقرير
Categorical resolutions of filtered schemes
العنوان: | Categorical resolutions of filtered schemes |
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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 |
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