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Log del Pezzo surfaces, degenerations and Torus actions
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Kutas, Edwin (2021) Log del Pezzo surfaces, degenerations and Torus actions. PhD thesis, University of Warwick.
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Official URL: http://webcat.warwick.ac.uk/record=b3859530
Abstract
We provide an explicit classification for a number of large classes of complex projective surfaces. In particular we classify all log del Pezzo surfaces whose singularities have small discrepancy, and in the process we make precise the notion of small discrepancy. We also provide an explicit description of the morphisms relating these surfaces. In a different vein, we consider surfaces admitting an action by a torus, which does not necessarily have full dimension. We provide a terminating algorithm that classifies all such log del Pezzo surfaces whose singularities have bounded index.
Item Type: | Thesis (PhD) | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Surfaces, Surfaces, Algebraic, Torus (Geometry), Morphisms (Mathematics) | ||||
Official Date: | September 2021 | ||||
Dates: |
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Institution: | University of Warwick | ||||
Theses Department: | Mathematics Institute | ||||
Thesis Type: | PhD | ||||
Publication Status: | Unpublished | ||||
Supervisor(s)/Advisor: | Reid, Miles (Miles A.) | ||||
Format of File: | |||||
Extent: | v, 74 pages : illustrations | ||||
Language: | eng |
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