Witt groups of real projective surfaces

DOI10.1007/BF01444523zbMath0692.14012MaRDI QIDQ583307

R. Sujatha

Publication date: 1990

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164725

zbMATH Keywords

unramified cohomologyquadratic formsWitt groupbirational characterization of real projective spacereal components of algebraic varieties

Mathematics Subject Classification ID

Real algebraic sets (14P05) Étale and other Grothendieck topologies and (co)homologies (14F20) Quadratic forms over global rings and fields (11E12) Topological properties in algebraic geometry (14F45)

Related Items (7)

Projective modules over the real algebraic sphere of dimension 3 ⋮ Witt groups of curves and surfaces ⋮ The Witt ring of a curve with good reduction over a non-dyadic local field ⋮ The Witt group of real surfaces ⋮ Witt Groups of Varieties and the Purity Problem ⋮ The Witt group of real algebraic varieties ⋮ Witt group and torsion Picard group of real curves

Cites Work

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• Real components of algebraic varieties and étale cohomology
• Le groupe de Witt d'une surface réelle. (The Witt group of a real surface)
• On the injectivity of the map of the Witt group of a scheme into the Witt group of its function field
• The Witt group of a smooth complex surface
• Witt groups of affine three-folds
• Classification theorems for quadratic forms over fields
• Cohomologische Invarianten quadratischer Formen
• Levels of Non-Real Function Fields of Real Rational Surfaces
• Gersten's conjecture and the homology of schemes
• Rational surfaces over perfect fields. I
• On birational forms of rational surfaces
• Quadratic Forms Over Formally Real Fields and Pythagorean Fields

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