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Bott Vanishing and Kawamata-Viehweg Vanishing for Algebraic Surfaces
- BAKER, WILLIAM Stephen
- Advisor(s): Totaro, Burt
Abstract
This dissertation has three parts. The first explores which del Pezzo surfaces with Gorenstein singularities satisfy Bott vanishing. The second expands on Bott vanishing that occurs for F-liftable varieties and toric varieties. The last provides a counterexample for Kawamata-Viehweg vanishing for a log Fano surface of characteristic five.
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