Dokument: Sign involutions on para-abelian varieties
| Titel: | Sign involutions on para-abelian varieties | |||||||
| URL für Lesezeichen: | https://docserv.uni-duesseldorf.de/servlets/DocumentServlet?id=67625 | |||||||
| URN (NBN): | urn:nbn:de:hbz:061-20241121-105448-4 | |||||||
| Kollektion: | Publikationen | |||||||
| Sprache: | Englisch | |||||||
| Dokumententyp: | Wissenschaftliche Texte » Artikel, Aufsatz | |||||||
| Medientyp: | Text | |||||||
| Autoren: | Bergqvist, Jakob [Autor] Dang, Thuong [Autor] Schröer, Stefan [Autor] | |||||||
| Dateien: |
| |||||||
| Stichwörter: | Para-abelian varieties, Quotients by group actions, Picard schemes | |||||||
| Beschreibung: | We study the so-called sign involutions on twisted forms of abelian varieties, and show that such a sign involution exists if and only if the class in the Weil–Châtelet group is annihilated by two. If these equivalent conditions hold, we prove that the Picard scheme of the quotient is étale and contains no points of finite order. In dimension one, such quotients are Brauer–Severi curves, and we analyze the ensuing embeddings of the genus-one curve into twisted forms of Hirzebruch surfaces and weighted projective spaces. | |||||||
| Rechtliche Vermerke: | Originalveröffentlichung:
Bergqvist, J. S., Dang, T., & Schröer, S. (2024). Sign involutions on para-abelian varieties. Indagationes Mathematicae, 35(3), 570–583. https://doi.org/10.1016/j.indag.2024.04.006 | |||||||
| Lizenz: |  Dieses Werk ist lizenziert unter einer Creative Commons Namensnennung 4.0 International Lizenz | |||||||
| Fachbereich / Einrichtung: | Mathematisch- Naturwissenschaftliche Fakultät | |||||||
| Dokument erstellt am: | 21.11.2024 | |||||||
| Dateien geändert am: | 21.11.2024 |
