The Brauer group of a rational surface

DOI10.1007/BF01403184zbMath0205.25101MaRDI QIDQ2542216

James S. Milne

Publication date: 1970

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

Full work available at URL: https://eudml.org/doc/142058

Mathematics Subject Classification ID

Finite ground fields in algebraic geometry (14G15) Arithmetic ground fields for surfaces or higher-dimensional varieties (14J20) Brauer groups of schemes (14F22) Birational geometry (14E99)

Related Items (10)

Unnamed Item ⋮ Calculation of Manin’s invariant for Del Pezzo surfaces ⋮ Unnamed Item ⋮ There are genus one curves of every index over every infinite, finitely generated field ⋮ Morphisms to Brauer–Severi Varieties, with Applications to Del Pezzo Surfaces ⋮ Open problems on central simple algebras. ⋮ On the Brauer group of a surface ⋮ On the Tate-Shafarevich groups of certain elliptic curves ⋮ Abstract algebraic geometry ⋮ The Shafarevich-Tate conjecture for pencils of elliptic curves on K3 surfaces

Cites Work

• The Tate-*Safarevic group of a constant abelian variety
• Rational surfaces over perfect fields
• Unnamed Item

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