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\(\mathbb{A}^1\)-homotopy theory and contractible varieties: a survey (Q2074096)

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English	\(\mathbb{A}^1\)-homotopy theory and contractible varieties: a survey	scientific article

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scholarly article

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\(\mathbb{A}^1\)-homotopy theory and contractible varieties: a survey (English)

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zbMATH Open document ID

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10.1007/978-3-030-78977-0_5

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Paul Arne Østvær

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publication date

4 February 2022

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full work available at URL

https://arxiv.org/abs/1903.07851

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Mathematics Subject Classification ID

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zbMATH DE Number

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MaRDI profile type

MaRDI publication profile

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On the uniqueness of the coefficient ring in a polynomial ring

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The Picard group of the forms of the affine line and of the additive group

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A primer for unstable motivic homotopy theory

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Non-linearizable algebraic \(k^*\)-actions on affine spaces

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On 2-stably isomorphic four-dimensional affine domains

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Motives of some acyclic varieties

0 references

Birational invariants and 𝔸1-connectedness

0 references

On Unipotent Quotients and some -contractible Smooth Schemes

0 references

Vector bundles on contractible smooth schemes

0 references

A cohomological classification of vector bundles on smooth affine threefolds

0 references

Splitting vector bundles outside the stable range and 𝔸¹-homotopy sheaves of punctured affine spaces

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Stable \(\mathbb A^1\)-homotopy and \(R\)-equivalence

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Smooth varieties up to \(\mathbb A^1\)-homotopy and algebraic \(h\)-cobordisms

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Smooth Models of Motivic Spheres and the Clutching Construction

0 references

Affine representability results in \(\mathbb{A}^1\)-homotopy theory. I: Vector bundles.

0 references

Equivariant \(K\)-theory and completion

0 references

0 references

Towards conservativity of \(\mathbb{G}_m\)-stabilization

0 references

R-Equivalence and A1-Connectedness in Anisotropic Groups

0 references

\(\mathbb A^1\)-connected components of schemes

0 references

A simply connected surface of general type with \(p_ g=0\)

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Stably rational non rational varieties

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The Equivariant Grothendieck Groups of the Russell-Koras Threefolds

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Local projective model structures on simplicial presheaves

0 references

Algebraic cycles and higher K-theory

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0 references

Some structure theorems for algebraic groups

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Shrinking cell-like decompositions of manifolds. Codimension three

0 references

0 references

Conjugate varieties with distinct real cohomology algebras

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Isomorphic Polynomial Rings

0 references

0 references

Infinite sums of manifolds

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Voevodsky's Lectures on Motivic Cohomology 2000/2001

0 references

Hyperbolic algebraic varieties and holomorphic differential equations

0 references

Danielewski-Fieseler surfaces

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Additive group actions on Danielewski varieties and the cancellation problem

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The cylinder over the Koras-Russell cubic threefold has a trivial Makar-Limanov invariant

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Affine open subsets in A^3 without the cancellation property

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Affine surfaces with isomorphic \(\mathbb{A}^2\)-cylinders

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Families of $\mathbb{A}^1$-contractible affine threefolds

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Noncancellation for contractible affine threefolds

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𝔸1-contractibility of affine modifications

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Universal homotopy theories

0 references

Topological hypercovers and \(\mathbb{A}^1\)-realizations

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Motivic functors

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The projective bundle theorem for I<sup><i>j</i></sup> -cohomology

0 references

On Zariski problem

0 references

0 references

0 references

On the motivic spectra representing algebraic cobordism and algebraic \(K\)-theory

0 references

Uncountably many contractible open 4-manifolds

0 references

Two cartesian products which are euclidean spaces

0 references

On the cancellation problem for the affine space \(\mathbb{A}^{3}\) in characteristic \(p\)

0 references

On Zariski's cancellation problem in positive characteristic

0 references

On the family of affine threefolds

0 references

A survey on Zariski cancellation problem

0 references

Affine varieties dominated by \(C^ 2\).

0 references

On the rationality of complex homology 2-cells: I

0 references

On the rationality of complex homology 2-cells. II

0 references

Motivic slices and coloured operads

0 references

A short elementary proof of Grothendieck's theorem on algebraic vectorbundles over the projective line

0 references

Motivic homotopy theory of group scheme actions

0 references

Topological comparison theorems for Bredon motivic cohomology

0 references

Nonuniqueness of Coefficient Rings in a Polynomial Ring

0 references

Étale contractible varieties in positive characteristic

0 references

0 references

Spectra and symmetric spectra in general model categories

0 references

A1 contractibility of the Koras–Russell threefold

0 references

Slice filtration on motives and the Hodge conjecture (with an appendix by J. Ayoub)

0 references

0 references

0 references

Étale realization on the \(\mathbb A^1\)-homotopy theory of schemes

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Motivic stable homotopy groups

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Simplicial presheaves

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Motivic symmetric spectra

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Representability theorems for presheaves of spectra

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Local Homotopy Theory

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On the cancellation problem

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0 references

Polynomials with general \(\mathbb{C}^ 2\)-fibers are variables.

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Locally euclidean factors of \(E^ 4\) which cannot be imbedded in \(E^ 3\)

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Algebraic spaces

0 references

0 references

0 references

A generalization of the Conner conjecture and topology of Stein spaces dominated by \(\mathbb C^ n\)

0 references

0 references

Convergence of Voevodsky's slice tower

0 references

A comparison of motivic and classical stable homotopy theories

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An overview of motivic homotopy theory

0 references

On the Bass-Quillen conjecture concerning projective modules over polynomial rings

0 references

Positivity criteria for log canonical divisors and hyperbolicity

0 references

On the hypersurface \(x+x^2y+z^2+t^3=0\) in \(\mathbb{C}^4\) or a \(\mathbb{C}^3\)-like threefold which is not \(\mathbb{C}^3\)

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A note on some contractible 4-manifolds

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Some Contractible Open 3-Manifolds

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Algebraic \(K\)-theory and quadratic forms. With an appendix by J. Tate

0 references

0 references

Affine surfaces containing cylinderlike open sets

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Absence of the affine lines on the homology planes of general type

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Algebraic cycles and vector bundles over affine three-folds

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The stable \(\mathbb{A}^1\)-connectivity theorems

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\(\mathbb A^1\)-algebraic topology over a field

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\(\mathbb{A}^1\)-homotopy theory of schemes

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0 references

Brown representability in<sup>1</sup>-homotopy theory

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Quaternionic Grassmannians and Borel classes in algebraic geometry

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Les décompositions de l'hypercube en produit topologique

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Higher algebraic K-theory: I

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Projective modules over polynomial rings

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A topological characterisation of the affine plane as an algebraic variety

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Spanier-Whitehead duality in algebraic geometry

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The torsion of the group of 0-cycles modulo rational equivalence

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On affine-ruled rational surfaces

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Modules over motivic cohomology

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The first stable homotopy groups of motivic spheres

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Forms of the affine line and its additive group

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Euler class groups and the homology of elementary and special linear groups

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Geometric models for higher Grothendieck-Witt groups in \(\mathbb A^1\)-homotopy theory

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Faisceaux algébriques cohérents

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On detecting Euclidean space homotopically among topological manifolds

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The Bott inverted infinite projective space is homotopy algebraic <i>K</i> -theory

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0 references

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Singular homology of abstract algebraic varieties

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Séminaire de géométrie algébrique du Bois Marie 1966/67, SGA 6.Dirigé par P. Berthelot, A. Grothendieck et L. Illusie, Avec la collaboration de D. Ferrand, J. P. Jouanolou, O. Jussilia, S. Kleiman, M. Raynaud et J. P. Serre. Théorie des intersections et théorème de Riemann-Roch

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One-cycles on rationally connected varieties

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Analytic compactifications of complex homology cells

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\(\mathbb{A}^1\)-homotopy theory

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Reduced power operations in motivic cohomology

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Motivic cohomology with \(\mathbb Z/2\)-coefficients

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Unstable motivic homotopy categories in Nisnevich and cdh-topologies

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CERTAIN THEOREMS ABOUT THREE-DIMENSIONAL MANIFOLDS (I)

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Unstable motivic homotopy theory

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The boundary motive: definition and basic properties

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On free holomorphic \({\mathbb{C}}\)-actions on \({\mathbb{C}}^ n\) and homogeneous Stein manifolds

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