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Motivic stable cohomotopy and unimodular rows (Q6182793)

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scientific article; zbMATH DE number 7781645

Language	Label	Description	Also known as
English	Motivic stable cohomotopy and unimodular rows	scientific article; zbMATH DE number 7781645

Statements

scholarly article

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Motivic stable cohomotopy and unimodular rows (English)

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Advances in Mathematics

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publication date

21 December 2023

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full work available at URL

https://arxiv.org/abs/2206.11688

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zbMATH Keywords

motivic homotopy theory

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unimodular rows

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MaRDI profile type

MaRDI publication profile

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Smooth Models of Motivic Spheres and the Clutching Construction

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Algebraic vector bundles on spheres

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

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Comparing Euler Classes

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Euler class groups and motivic stable cohomotopy (with an appendix by Mrinal Kanti Das)

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

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Affine representability results in \(\mathbb A^1\)-homotopy theory. II: Principal bundles and homogeneous spaces

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

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Affine representability of quadrics revisited

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The simplicial suspension sequence in \(\mathbb A^1\)-homotopy

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Algebraic homotopy classes of rational functions

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

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Orbit spaces of unimodular rows over smooth real affine algebras

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``Strong'' Euler class of a stably free module of odd rank

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Some remarks on orbit sets of unimodular rows

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On the number of generators of ideals in polynomial rings

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Lectures on Chow-Witt groups

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Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas (Quatrième partie). Rédigé avec la colloboration de J. Dieudonné

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From algebraic cobordism to motivic cohomology

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Extrapolating an Euler class

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A group structure on certain orbit sets of unimodular rows

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A module structure on certain orbit sets of unimodular rows

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The class of Eisenbud-Khimshiashvili-Levine is the local \(\mathbb{A}^1\)-Brouwer degree

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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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Generalised Mennicke-Newman lemma

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Algebraic \(K\)-theory.

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Stable rank of rings and dimensionality of topological spaces

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SERRE'S PROBLEM ON PROJECTIVE MODULES OVER POLYNOMIAL RINGS, AND ALGEBRAIC $ K$-THEORY

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Identifiers

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10.1016/j.aim.2023.109415

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6182793

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