Hodge-theoretic obstruction to existence of quaternion algebras
| dc.creator | Kresch, Andrew | |
| dc.date | 2000-09-12 | |
| dc.date.accessioned | 2026-07-07T04:37:21Z | |
| dc.date.available | 2026-07-07T04:37:21Z | |
| dc.description | The class in the Brauer group of a quaternion algebra over a field is 2-torsion. We study the following question: Which 2-torsion elements of the Brauer group of a complex function field are representable by quaternion algebras? Using intersection theory to show that a certain cohomology class (on a smooth projective model) is the class of an algebraic cycle, we arrive at an obstruction, defined on a subgroup of the 2-torsion of the Brauer group, to representability by quaternion algebras. For the function fields of some complex threefolds, the obstruction map is computed and found to be nontrivial. | |
| dc.description | 9 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/math/0009115 | |
| dc.identifier | http://arxiv.org/abs/math/0009115 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59918 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 16K50 (Primary) 14C17, 14F22 (Secondary) | |
| dc.title | Hodge-theoretic obstruction to existence of quaternion algebras | |
| dc.type | text |