Dokument: ON THE SINGULARITIES OF QUOTIENTS BY 1-FOLIATIONS
| Titel: | ON THE SINGULARITIES OF QUOTIENTS BY 1-FOLIATIONS | |||||||
| URL für Lesezeichen: | https://docserv.uni-duesseldorf.de/servlets/DocumentServlet?id=72150 | |||||||
| URN (NBN): | urn:nbn:de:hbz:061-20260204-115042-7 | |||||||
| Kollektion: | Publikationen | |||||||
| Sprache: | Englisch | |||||||
| Dokumententyp: | Wissenschaftliche Texte » Artikel, Aufsatz | |||||||
| Medientyp: | Text | |||||||
| Autor: | Posva, Quentin [Autor] | |||||||
| Dateien: |
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| Stichwörter: | positive characteristic , foliations , quotients , singularities | |||||||
| Beschreibung: | We study the singularities of varieties obtained as infinitesimal quotients by 1-foliations in positive characteristic. (1) We show that quotients by (log) canonical 1-foliations preserve the (log) singularities of the MMP. (2) We prove that quotients by multiplicative derivations preserve many properties, amongst which most F-singularities. (3) We formulate a notion of families of 1-foliations, and investigate the corresponding families of quotients. | |||||||
| Rechtliche Vermerke: | Originalveröffentlichung:
Posva, Q. (2025). ON THE SINGULARITIES OF QUOTIENTS BY 1-FOLIATIONS. Nagoya Mathematical Journal, 261, Article e6. https://doi.org/10.1017/nmj.2025.10072 | |||||||
| Lizenz: |  Dieses Werk ist lizenziert unter einer Creative Commons Namensnennung 4.0 International Lizenz | |||||||
| Fachbereich / Einrichtung: | Mathematisch- Naturwissenschaftliche Fakultät | |||||||
| Dokument erstellt am: | 04.02.2026 | |||||||
| Dateien geändert am: | 04.02.2026 |
