Descendable maps of schemes and generators of derived categories

dc.contributor.authorZhao, jiayu
dc.date.accessioned2025-05-06T14:45:44Z
dc.date.available2025-05-06T14:45:44Z
dc.date.graduationmonthMay
dc.date.issued2025
dc.description.abstractThis work establishes the theory of descendable morphisms of schemes which were previously introduced by Akhil Mathew for stableāˆž-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.advisorGabriel Kerr
dc.description.degreeDoctor of Philosophy
dc.description.departmentDepartment of Mathematics
dc.description.levelDoctoral
dc.identifier.urihttps://hdl.handle.net/2097/45007
dc.language.isoen_US
dc.subjectdescendable maps, triangulated categories, Rouquier dimension
dc.titleDescendable maps of schemes and generators of derived categories
dc.typeDissertation

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