Families of stable sheaves: wrong-way fibers and noncommutative deformations

Publikation: Qualifikations-/Studienabschlussarbeit › Habilitationsschrift

Autoren

  • Fabian Reede

Organisationseinheiten

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Details

OriginalspracheEnglisch
QualifikationDoctor habilitatus
Gradverleihende Hochschule
Datum der Verleihung des Grades24 Jan. 2023
ErscheinungsortHannover
PublikationsstatusVeröffentlicht - 2023

Abstract

In this thesis we want to understand properties of families of stable sheaves. First we give a quick introduction to the topic. Then we look at three specific topics regarding families of stable sheaves: a) stability of wrong-way fibers, b) wrong-way fibers and integral functors and c) noncommutative surfaces and deformations. For each topic we collect known results and describe the state-of-the-art methods to study these properties. We end each section with open questions. Then we give a quick summary of our results answering some of the open questions.

Zitieren

Families of stable sheaves: wrong-way fibers and noncommutative deformations. / Reede, Fabian.
Hannover, 2023. 148 S.

Publikation: Qualifikations-/Studienabschlussarbeit › Habilitationsschrift

Reede, F 2023, 'Families of stable sheaves: wrong-way fibers and noncommutative deformations', Doctor habilitatus, Gottfried Wilhelm Leibniz Universität Hannover, Hannover. https://doi.org/10.15488/13171
Reede, F. (2023). Families of stable sheaves: wrong-way fibers and noncommutative deformations. [Habilitationsschrift, Gottfried Wilhelm Leibniz Universität Hannover]. https://doi.org/10.15488/13171
Reede F. Families of stable sheaves: wrong-way fibers and noncommutative deformations. Hannover, 2023. 148 S. doi: 10.15488/13171
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