Date of Award
4-30-2025
Document Type
Open Access Dissertation
Department
Mathematics
First Advisor
Matthew Ballard
Abstract
This work focuses on problems regarding derived categories arising in algebraic geometry and commutative algebra. There are six chapters regarding generation in the bounded derived category of coherent sheaves over a Noetherian scheme. The targeted topics involve explicitly identifying generators, proving existence results thereof, and producing estimates on Rouquier dimension.
Rights
© 2025, Pat Lank
Recommended Citation
Lank, P.(2025). Generation and Dimension for Derived Categories. (Doctoral dissertation). Retrieved from https://scholarcommons.sc.edu/etd/8080