Q2074093
type: Item
instance of: scholarly article
title: An introduction to \(\mathbb{A}^1\)-enumerative geometry. Based on lectures by Kirsten Wickelgren delivered at the LMS-CMI research school ``Homotopy theory and arithmetic geometry -- motivic and Diophantine aspects''
zbMATH Open document ID: 1478.14002
DOI: 10.1007/978-3-030-78977-0_2
author: Thomas Brazelton
publication date: 2022-02-04T00:00:00Z
Mathematics Subject Classification ID: 14-01
Mathematics Subject Classification ID: 14F42
Mathematics Subject Classification ID: 55U35
Mathematics Subject Classification ID: 14N15
Mathematics Subject Classification ID: 14F35
Mathematics Subject Classification ID: 55M25
Mathematics Subject Classification ID: 14C17
zbMATH DE Number: 7469162
describes a project that uses: RealBitangents
describes a project that uses: Book3264Examples
MaRDI profile type: Publication
full work available at URL: 978-3-030-78977-0 2
OpenAlex ID: W3202693180
cites work: $K$-théorie algébrique et $K$-théorie topologique I.
cites work: Q3822372
cites work: Algebraic Homotopy Theory
cites work: Q3928685
cites work: Singular homology of abstract algebraic varieties
cites work: \(\mathbb{A}^1\)-homotopy theory
cites work: Homotopical algebra
cites work: Q4246616
cites work: \(\mathbb{A}^1\)-homotopy theory of schemes
cites work: On motivic cohomology with \(\mathbb{Z}/l\)-coefficients
cites work: The class of Eisenbud-Khimshiashvili-Levine is the local \(\mathbb{A}^1\)-Brouwer degree
cites work: An arithmetic count of the lines on a smooth cubic surface
cites work: An arithmetic count of the lines meeting four lines in 𝐏³
cites work: Q5490939
cites work: \(\mathbb A^1\)-algebraic topology over a field
cites work: Q3160258
cites work: A classical proof that the algebraic homotopy class of a rational function is the residue pairing
cites work: Algebraic homotopy classes of rational functions
cites work: Hypercovers and simplicial presheaves
cites work: A primer for unstable motivic homotopy theory
cites work: Universal homotopy theories
cites work: Norms in motivic homotopy theory
cites work: \(K\)-theory and the bridge from motives to noncommutative motives
cites work: Néron Models
cites work: Q4342000
cites work: The six operations in equivariant motivic homotopy theory
cites work: A quadratic refinement of the Grothendieck-Lefschetz-Verdier trace formula
cites work: The trace of the local \(\mathbb{A}^1\)-degree
cites work: An algebraic formula for the degree of a \(C^\infty\) map germ. Sur une inegalite a la Minkowski pour les multiplicites
cites work: Q4115815
cites work: Q4075559
cites work: Q4674273
cites work: Séminaire de géométrie algébrique du Bois-Marie 1967--1969. Groupes de monodromie en géométrie algébrique (SGA 7 II) par P. Deligne et N. Katz. Exposés X à XXII
cites work: 3264 and all that. A second course in algebraic geometry
cites work: Q5837616
cites work: Spin and \(\text{Pin}^-\) structures, immersed and embedded surfaces and a result of Segre on real cubic surfaces
cites work: Intrinsic signs and lower bounds in real algebraic geometry
cites work: Abundance of 3-planes on real projective hypersurfaces
cites work: Groupe de Chow des cycles orientés et classe d'Euler des fibrés vectoriels
cites work: Groupes de Chow-Witt
cites work: Comparing Euler Classes
cites work: Fundamental classes in motivic homotopy theory
cites work: Motivic Gauss-Bonnet formulas
cites work: An enriched count of the bitangents to a smooth plane quartic curve
cites work: Examples of wild ramification in an enriched Riemann–Hurwitz formula
cites work: MOTIVIC EULER CHARACTERISTICS AND WITT-VALUED CHARACTERISTIC CLASSES
cites work: An arithmetic enrichment of Bézout's theorem
cites work: Oriented Schubert calculus in Chow–Witt rings of Grassmannians
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label: An introduction to \(\mathbb{A}^1\)-enumerative geometry. Based on lectures by Kirsten Wickelgren delivered at the LMS-CMI research school ``Homotopy theory and arithmetic geometry -- motivic and Diophantine aspects''
description: scientific article; zbMATH DE number 7469162