Dokument: Cohomology of certain Artin stacks
| Titel: | Cohomology of certain Artin stacks | |||||||
| URL für Lesezeichen: | https://docserv.uni-duesseldorf.de/servlets/DocumentServlet?id=60328 | |||||||
| URN (NBN): | urn:nbn:de:hbz:061-20220822-084645-3 | |||||||
| Kollektion: | Dissertationen | |||||||
| Sprache: | Englisch | |||||||
| Dokumententyp: | Wissenschaftliche Abschlussarbeiten » Dissertation | |||||||
| Medientyp: | Text | |||||||
| Autor: | Dr. Dang, Thuong [Autor] | |||||||
| Dateien: |
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| Beitragende: | Prof. Dr. Schröer, Stefan [Gutachter] Prof. Dr. Hornbostel, Jens [Gutachter] | |||||||
| Stichwörter: | Artin stacks, Deligne-Mumford stacks, moduli stack of curves, classifying stacks, group cohomology, sheaf cohomology, cohomological descent | |||||||
| Dewey Dezimal-Klassifikation: | 500 Naturwissenschaften und Mathematik » 510 Mathematik | |||||||
| Beschreibung: | Moduli problems play an important role in algebraic geometry. In most cases, moduli functors are not representable. To cope with this, we use the language of stacks. In this thesis, we studied in details the moduli stack of genus one curve and computed its Picard group. Moreover, by using cohomological descent, we computed cohomology of certain classifying stacks. | |||||||
| Lizenz: |  Urheberrechtsschutz | |||||||
| Fachbereich / Einrichtung: | Mathematisch- Naturwissenschaftliche Fakultät | |||||||
| Dokument erstellt am: | 22.08.2022 | |||||||
| Dateien geändert am: | 22.08.2022 | |||||||
| Promotionsantrag am: | 23.03.2022 | |||||||
| Datum der Promotion: | 20.04.2022 |
