تقرير
Compactly generated tensor t-structures on the derived category of a Noetherian scheme
| العنوان: | Compactly generated tensor t-structures on the derived category of a Noetherian scheme |
|---|---|
| المؤلفون: | Sahoo, Gopinath, Dubey, Umesh V. |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Geometry, 14F05 (Primary), 18E30 (Secondary) |
| الوصف: | We introduce a tensor compatibility condition for t-structures. For any Noetherian scheme $X$, we prove that there is a one-to-one correspondence between the set of filtrations of Thomason subsets and the set of aisles of compactly generated tensor compatible t-structures on the derived category of $X$. This generalizes the earlier classification of compactly generated t-structures for commutative rings to schemes. Hrbek and Nakamura have reformulated the famous telescope conjecture for t-structures. As an application of our main theorem, we prove that a tensor version of the conjecture is true for separated Noetherian schemes. Comment: 24 pages, corrected an argument in section 4, results unchanged |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2204.05015 |
| رقم الأكسشن: | edsarx.2204.05015 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |