Publikationsdetails
G-torsors and universal torsors over nonsplit del Pezzo surfaces
Abstract
Let S be a smooth del Pezzo surface that is defined over a field K and splits over a Galois extension L. Let G be either the split reductive group given by the root system of SL in PicSL, or a form of it containing the Néron–Severi torus. Let G be the G-torsor over SL obtained by extension of structure group from a universal torsor T over SL. We prove that G does not descend to S unless T does. This is in contrast to a result of Friedman and Morgan that such G always descend to singular del Pezzo surfaces over C from their desingularizations.
Details
- Organisationseinheit(en)
-
Institut für Algebra, Zahlentheorie und Diskrete Mathematik
- Externe Organisation(en)
-
Institute for Advanced Studies
Mary Immaculate College
- Typ
- Artikel
- Journal
- Journal of algebra
- Band
- 658
- Seiten
- 163-176
- Anzahl der Seiten
- 14
- ISSN
- 0021-8693
- Publikationsdatum
- 15.11.2024
- Publikationsstatus
- Veröffentlicht
- Peer-reviewed
- Ja
- ASJC Scopus Sachgebiete
- Algebra und Zahlentheorie
- Elektronische Version(en)
-
https://doi.org/10.1016/j.jalgebra.2024.06.002 (Zugang:
Offen
)
https://doi.org/https://arxiv.org/abs/2109.08137 (Zugang: Offen )
