Applications of patching to quadratic forms and central simple algebras
| dc.creator | Harbater, David | |
| dc.creator | Hartmann, Julia | |
| dc.creator | Krashen, Daniel | |
| dc.date | 2008-09-25 | |
| dc.date | 2009-03-13 | |
| dc.date.accessioned | 2026-07-07T13:07:35Z | |
| dc.date.available | 2026-07-07T13:07:35Z | |
| dc.description | This paper provides applications of patching to quadratic forms and central simple algebras over function fields of curves over henselian valued fields. In particular, we use a patching approach to reprove and generalize a recent result of Parimala and Suresh on the u-invariant of p-adic function fields, for p odd. The strategy relies on a local-global principle for homogeneous spaces for rational algebraic groups, combined with local computations. | |
| dc.description | 48 pages; connectivity now required in the definition of rational group; beginning of Section 4 reorganized; other minor changes | |
| dc.identifier | https://arxiv.org/abs/0809.4481 | |
| dc.identifier | http://arxiv.org/abs/0809.4481 | |
| dc.identifier | doi:10.1007/s00222-009-0195-5 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/228134 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 11E04; 16K50; 14H05 | |
| dc.title | Applications of patching to quadratic forms and central simple algebras | |
| dc.type | text |