Birational invariants and 𝔸1-connectedness

DOI10.1515/crelle-2012-0034zbMath1328.14036arXiv1001.4574OpenAlexW2963327982MaRDI QIDQ2848374

Aravind Asok

Publication date: 26 September 2013

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.4574

Mathematics Subject Classification ID

Rational and birational maps (14E05) Motivic cohomology; motivic homotopy theory (14F42) Algebraic cycles and motivic cohomology ((K)-theoretic aspects) (19E15) Rationality questions in algebraic geometry (14E08)

Related Items (10)

Universal birational invariants and A1-homology ⋮ Zeroth \(\mathbb{A}^1\)-homology of smooth proper varieties ⋮ Smooth weight structures and birationality filtrations on motivic categories ⋮ Strong A1${\mathbb {A}}^1$‐invariance of A1${\mathbb {A}}^1$‐connected components of reductive algebraic groups ⋮ Geometric criteria for 𝔸¹-connectedness and applications to norm varieties ⋮ Stable \(\mathbb A^1\)-homotopy and \(R\)-equivalence ⋮ Stably \(\mathbb{A}^1\)-connected varieties and universal \(\mathrm{CH}_{0}\) ⋮ Smooth varieties up to \(\mathbb A^1\)-homotopy and algebraic \(h\)-cobordisms ⋮ Homotopy theory and arithmetic geometry -- motivic and Diophantine aspects: an introduction ⋮ \(\mathbb{A}^1\)-homotopy theory and contractible varieties: a survey

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