Evaluating the wild Brauer group
From MaRDI portal
Publication:6095146
DOI10.1007/s00222-023-01210-8arXiv2009.03282OpenAlexW3083363332MaRDI QIDQ6095146
Publication date: 11 October 2023
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.03282
Local ground fields in algebraic geometry (14G20) (p)-adic cohomology, crystalline cohomology (14F30) Brauer groups of schemes (14F22) Hasse principle, weak and strong approximation, Brauer-Manin obstruction (14G12)
Cites Work
- Ordinary reduction of K3 surfaces
- Torsion dans le groupe de Chow de codimension deux
- \(p\)-adic étale cohomology
- Relèvements modulo \(p^ 2\) et décomposition du complexe de de Rham. (Lifting modulo \(p^ 2\) and decomposition of the de Rham complex)
- Affine analog of the proper base change theorem
- Ramification of local fields with imperfect residue fields. II
- Conductors and the moduli of residual perfection
- Purity for the Brauer group
- Seminar of algebraic geometry du Bois-Marie 1963--1964. Topos theory and étale cohomology of schemes (SGA 4). Vol. 1: Topos theory. Exp. I--IV
- Séminaire de géométrie algébrique du Bois Marie 1960/61 (SGA 1), dirigé par Alexander Grothendieck. Augmenté de deux exposés de M. Raynaud. Revêtements étales et groupe fondamental. Exposés I à XIII. (Seminar on algebraic geometry at Bois Marie 1960/61 (SGA 1), directed by Alexander Grothendieck. Enlarged by two reports of M. Raynaud. Ètale coverings and fundamental group)
- Weak approximation and non-abelian fundamental groups
- Zero-cycles on varieties over $p$-adic fields and Brauer groups
- Lectures on K3 Surfaces
- A finiteness theorem for the Brauer group of abelian varieties and 𝐾3 surfaces
- Complexe de de\thinspace Rham-Witt et cohomologie cristalline
- Logarithmic structures of Fontaine-Illusie. II
- On Swan conductors for Brauer groups of curves over local fields
- Hasse principle and weak approximation for pencils of Severi-Brauer and similar varieties.
- On the Swan conductor in positive characteristic
- Good reduction of the Brauer–Manin obstruction
- The Brauer–Grothendieck Group
- Coincidence of two Swan conductors of abelian characters
- Bad reduction of the Brauer-Manin obstruction
- Number of Points of Varieties in Finite Fields
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
