Unramified cohomology, \(\mathbb A^1\)-connectedness, and the Chevalley-Warning problem in Grothendieck ring

DOI10.1016/j.crma.2012.05.008zbMath1252.14009arXiv1201.5368OpenAlexW1584090984MaRDI QIDQ447891

Le Dang Thi Nguyen

Publication date: 30 August 2012

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.5368

zbMATH Keywords

unramified cohomologyGrothendieck ring

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) (K_0) of other rings (19A49) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

Cites Work

• \(\mathbb A^1\)-algebraic topology over a field
• Smooth varieties up to \(\mathbb A^1\)-homotopy and algebraic \(h\)-cobordisms
• La descente sur les variétés rationnelles. II. (The descent on rational varieties. II)
• Variétés unirationelles non rationelles: Au-delà de l'exemple d'Artin et Mumford. (Non rational unirational varieties: Beyond the Artin-Mumford example)
• The stable \(\mathbb{A}^1\)-connectivity theorems
• Conics in the Grothendieck ring
• Zeroes of Polynomials Over Finite Fields
• \(\mathbb{A}^1\)-homotopy theory of schemes
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