Vector bundles on contractible smooth schemes

DOI10.1215/00127094-2008-027zbMath1167.14025arXiv0710.3607OpenAlexW2963680643MaRDI QIDQ935196

Brent Doran, Aravind Asok

Publication date: 5 August 2008

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.3607

zbMATH Keywords

vector bundlesalgebraic K-theoryaffine varietiescontractible smooth schemes

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Geometric invariant theory (14L24) (K)-theory of schemes (19E08)

Related Items (5)

Algebraic vector bundles on punctured affine spaces and smooth quadrics ⋮ Smooth varieties up to \(\mathbb A^1\)-homotopy and algebraic \(h\)-cobordisms ⋮ 𝔸1-contractibility of affine modifications ⋮ \(\mathbb A^1\)-homotopy groups, excision, and solvable quotients ⋮ \(\mathbb{A}^1\)-homotopy theory and contractible varieties: a survey

Cites Work

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• Towards non-reductive geometric invariant theory
• On the Bass-Quillen conjecture concerning projective modules over polynomial rings
• Vector bundles over affine surfaces birationally equivalent to a ruled surface
• Geometric Invariant Theory
• On Unipotent Quotients and some -contractible Smooth Schemes
• Projective modules over polynomial rings
• Algebraic \(K\)-theory.
• \(\mathbb{A}^1\)-homotopy theory of schemes

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