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The Brauer-Grothendieck group
This monograph provides a systematic treatment of the Brauer group of schemes, from the foundational work of Grothendieck to recent applications in arithmetic and algebraic geometry. The importance of the cohomological Brauer group for applications to Diophantine equations and algebraic geometry was...
| Auteurs principaux : | , |
|---|---|
| Format : | Livre |
| Langue : | anglais |
| Titre complet : | The Brauer-Grothendieck group / Jean-Louis Colliot-Thélène, Alexei N. Skorobogatov |
| Publié : |
Cham, Switzerland :
Springer
, C 2021 |
| Description matérielle : | 1 vol. (XV-453 p.) |
| Collection : | Ergebnisse der Mathematik und ihrer Grenzgebiete 3. Folge ed. R. Remmert ; 71 |
| Sujets : | |
| Documents associés : | Autre format:
The Brauer-Grothendieck Group |
- Galois Cohomology
- Étale Cohomology
- Brauer Groups of Schemes
- Comparison of the Two Brauer Groups, II
- Varieties Over a Field
- Birational Invariance
- Severi-Brauer Varieties and hypersurfaces
- Singular Schemes and Varieties
- Varieties with a Group Action
- Schemes Over Local Rings and Fields
- Families of Varieties
- Rationality in a Family
- The Brauer-Manin Set and the formal lemma
- Rational Points in the Brauer-Manin Set
- The Brauer-Manin Obstruction for Zero-Cycles
- The Tate Conjecture, Abelian Varieties and K3 Surfaces