Geometric criteria for 𝔸¹-connectedness and applications to norm varieties

DOI10.1090/jag/790arXiv2102.05344OpenAlexW4293493322WikidataQ114094335 ScholiaQ114094335MaRDI QIDQ6073611

Anand Sawant, Chetan T. Balwe, Amit Hogadi

Publication date: 18 September 2023

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.05344

Mathematics Subject Classification ID

Motivic cohomology; motivic homotopy theory (14F42)

Cites Work

• Birational geometry and localisation of categories (with appendices by Jean-Louis Colliot-Thélène and Ofer Gabber)
• Smooth varieties up to \(\mathbb A^1\)-homotopy and algebraic \(h\)-cobordisms
• On motivic cohomology with \(\mathbb{Z}/l\)-coefficients
• Standard norm varieties for Milnor symbols \(\mathrm{mod} p\)
• \(\mathbb{A}^1\)-connected components of ruled surfaces
• Norm varieties
• The stable \(\mathbb{A}^1\)-connectivity theorems
• \(\mathbb A^1\)-connected components of schemes
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas (Quatrième partie). Rédigé avec la colloboration de J. Dieudonné
• Schemata over local rings
• Birational invariants and 𝔸1-connectedness
• Rationality problems and conjectures of Milnor and Bloch–Kato
• The rationality problem for norm one tori
• The Dimension of the Tensor Product of Two Field Extensions
• La $R$-équivalence sur les tores
• Torification and factorization of birational maps
• On standard norm varieties
• Shorter Notes: The Field of Multisymmetric Functions
• \(\mathbb{A}^1\)-homotopy theory of schemes
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