Lattice Polygons and Surfaces with Torus Action

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Dokumentart: PhDThesis
Date: 2023-02-17
Language: English
Faculty: 7 Mathematisch-Naturwissenschaftliche Fakultät
Department: Mathematik
Advisor: Hausen, Jürgen (Prof. Dr.)
Day of Oral Examination: 2023-02-03
DDC Classifikation: 510 - Mathematics
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This thesis contributes to the classification of log del Pezzo surfaces with torus action. Such a surface is 1/k-log canonical if all discrepancies of a resolution of singularities are greater than or equal to -1+1/k. We present an explicit classification strategy for fixed k as well as the concrete results in the cases k=1,2,3. [untranslated]

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