The Picard group of Brauer-Severi varieties
In this paper, we provide explicit generators for the Picard groups of cyclic Brauer-Severi varieties defined over the base field. In particular, we provide such generators for all Brauer-Severi surfaces. To produce these generators we use the theory of twists of smooth plane curves.
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2018 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:240666 |
| Acceso en línea: | https://ddd.uab.cat/record/240666 https://dx.doi.org/urn:doi:10.1515/math-2018-0101 |
| Access Level: | acceso abierto |
| Palabra clave: | Brauer-Severi varieties Picard groups Cyclic Algebras Theory of Twists Automorphisms |
| Sumario: | In this paper, we provide explicit generators for the Picard groups of cyclic Brauer-Severi varieties defined over the base field. In particular, we provide such generators for all Brauer-Severi surfaces. To produce these generators we use the theory of twists of smooth plane curves. |
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