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Cohomological dimension and rational points on curves

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Publication:1266454
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DOI10.1006/jabr.1997.7330zbMath0934.14011OpenAlexW1981111582MaRDI QIDQ1266454

Antoine Ducros

Publication date: 25 April 2000

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1997.7330


zbMATH Keywords

cohomological dimensioncurves without rational pointsextension of ground field


Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Galois cohomology (11S25) Rational points (14G05) Arithmetic ground fields for curves (14H25)


Related Items

Degree formula for connective \(K\)-theory ⋮ Serre’s Conjecture II: A Survey ⋮ Special fibre of low degree hypersurfaces ⋮ Groupe de Picard et groupe de Brauer des compactifications lisses d’espaces homogènes



Cites Work

  • Algebraic \(K\)-theory and the norm residue homomorphism
  • Real and étale cohomology
  • Galois Cohomology
  • On Picard groups of algebraic fibre spaces
  • Groupe de Brauer et arithmétique des groupes algébriques linéaires sur un corps de nombres.
  • SIMPLE ALGEBRAS AND QUADRATIC FORMS
  • A.D. Alexandrov spaces with curvature bounded below
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