Brauer groups of Châtelet surfaces over local fields
| Autor: | Takashi Hirotsu |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Surface (mathematics)
14G20 Pure mathematics 14C15 Rational surface 14F22 Group (mathematics) General Mathematics Duality (optimization) Field (mathematics) Ring of integers Local fields Châtelet surfaces Mathematics::Algebraic Geometry Mathematics::K-Theory and Homology Birational invariant Chow groups 14J26 Brauer group Mathematics Brauer groups |
| Zdroj: | Hokkaido Math. J. 48, no. 1 (2019), 141-154 |
| Popis: | A Châtelet surface over a field is a typical geometrically rational surface. Its Chow group of zero-cycles has been studied as an important birational invariant by many researchers since the 1970s. Recently, S. Saito and K. Sato obtained a duality between the Chow and Brauer groups from the Brauer-Manin pairing. For a Châtelet surface over a local field, we combine their result with the known calculation of the Chow group to determine the structure and generators of the Brauer group of a regular proper flat model of the surface over the integer ring of the base field. |
| Databáze: | OpenAIRE |
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