Descendable maps of schemes and generators of derived categories
| dc.contributor.author | Zhao, Jiayu | |
| dc.date.accessioned | 2025-05-06T14:45:44Z | |
| dc.date.available | 2025-05-06T14:45:44Z | |
| dc.date.graduationmonth | May | |
| dc.date.issued | 2025 | |
| dc.description.abstract | This work establishes the theory of descendable morphisms of schemes which were previously introduced by Akhil Mathew for stable [infinity]-categories. We prove properties they have, provide examples, and discuss applications to dimension theory. We explore the connection between descendable maps and generators of derived categories of quasi-coherent sheaves. | |
| dc.description.advisor | Gabriel Kerr | |
| dc.description.degree | Doctor of Philosophy | |
| dc.description.department | Department of Mathematics | |
| dc.description.level | Doctoral | |
| dc.identifier.uri | https://hdl.handle.net/2097/45007 | |
| dc.language.iso | en_US | |
| dc.subject | Descendable maps | |
| dc.subject | Triangulated categories | |
| dc.subject | Rouquier dimension | |
| dc.title | Descendable maps of schemes and generators of derived categories | |
| dc.type | Dissertation |
