Publication details
G-torsors and universal torsors over nonsplit del Pezzo surfaces
- authored by
- Ulrich Derenthal, Norbert Hoffmann
- 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.
- Organisation(s)
-
Institute of Algebra, Number Theory and Discrete Mathematics
- External Organisation(s)
-
Institute for Advanced Studies
Mary Immaculate College
- Type
- Article
- Journal
- Journal of algebra
- Volume
- 658
- Pages
- 163-176
- No. of pages
- 14
- ISSN
- 0021-8693
- Publication date
- 15.11.2024
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Algebra and Number Theory
- Electronic version(s)
-
https://doi.org/10.1016/j.jalgebra.2024.06.002 (Access:
Open)
https://doi.org/https://arxiv.org/abs/2109.08137 (Access: Open)
