𝔸1-contractibility of affine modifications

DOI10.1142/S0129167X19500691zbMath1436.14043arXiv1805.08959MaRDI QIDQ5208750

Sabrina Pauli, Adrien Dubouloz, Paul Arne Østvær

Publication date: 10 January 2020

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.08959

zbMATH Keywords

higher Chow groupsmotivic cohomologymotivic homotopy theory\(\mathbb{A}^1\)-contractible smooth affine schemesaffine modificationsBrieskorn-Pham surfacesdeformed Koras-Russell threefolds with degenerate fibers

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Group actions on affine varieties (14R20) Motivic cohomology; motivic homotopy theory (14F42) Algebraic cycles and motivic cohomology ((K)-theoretic aspects) (19E15)

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The cancellation of projective modules of rank 2 with a trivial determinant ⋮ The Zariski cancellation problem and related problems in affine algebraic geometry ⋮ \( \mathbb{A}^1\)-connected components and characterisation of \(\mathbb{A}^2\) ⋮ The homotopy Leray spectral sequence ⋮ 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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