On K*-surfaces of integral degree and full intrinsic quadric surfaces

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On K*-surfaces of integral degree and full intrinsic quadric surfaces

Király, Katharina Lydia
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URI: http://hdl.handle.net/10900/164601
http://nbn-resolving.org/urn:nbn:de:bsz:21-dspace-1646015
http://dx.doi.org/10.15496/publikation-105930
Dokumentart: PhDThesis
Date: 2025-04-23
Language: English
Faculty: 7 Mathematisch-Naturwissenschaftliche Fakultät
Department: Mathematik
Advisor: Hausen, Jürgen (Prof. Dr.)
Day of Oral Examination: 2025-02-27
DDC Classifikation: 510 - Mathematics
License: http://tobias-lib.uni-tuebingen.de/doku/lic_ohne_pod.php?la=de http://tobias-lib.uni-tuebingen.de/doku/lic_ohne_pod.php?la=en
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Abstract:

This dissertation is devoted to the study of quasismooth, rational, projective surfaces with K*-action. Inside this class we exhibit and explore two infinite series. Firstly, the surfaces of Picard number one and integral degree. Secondly, the full intrinsic quadric surfaces, that is, those whose Cox ring is defined by a single quadratic equation.

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