On the Brauer group of a surface

DOI10.1007/s00222-004-0403-2zbMath1077.14023OpenAlexW1984329303MaRDI QIDQ1770274

Qing Liu, Michel Raynaud, Dino J. Lorenzini

Publication date: 14 April 2005

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00222-004-0403-2

zbMATH Keywords

Brauer groupArtin-Tate ConjectureBirch-Swinnerton-Dyer Conjecture

Mathematics Subject Classification ID

Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Brauer groups of schemes (14F22)

Related Items

Finiteness of Brauer groups of K3 surfaces in characteristic 2, Sieve methods for varieties over finite fields and arithmetic schemes, Period and index of genus one curves over global fields, COMPARING THE BRAUER GROUP TO THE TATE–SHAFAREVICH GROUP, VALUES OF ZETA FUNCTIONS OF ARITHMETIC SURFACES AT, Failure of the Hasse principle for Enriques surfaces, Étale Steenrod operations and the Artin–Tate pairing, Rigorous computation of the endomorphism ring of a Jacobian, Uniruled surfaces of general type, Curves and Jacobians over Function Fields, Arithmetic of K3 Surfaces, On an analogue of the conjecture of Birch and Swinnerton-Dyer for abelian schemes over higher dimensional bases over finite fields, Open problems on central simple algebras., Corrigendum to: ``Néron models, Lie algebras, and reduction of curves of genus one and the Brauer group of a surface, Arithmetic of a singular \(K3\) surface, On the computation of the Picard group for K3 surfaces, TATE’S CONJECTURE AND THE TATE–SHAFAREVICH GROUP OVER GLOBAL FUNCTION FIELDS, Variation of Néron–Severi Ranks of Reductions of K3 Surfaces, Groups of components of Néron models of Jacobians and Brauer groups, The -parity conjecture for abelian varieties over function fields of characteristic

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