Unstable motivic homotopy theory
Kirsten Wickelgren,Ben Williams +1 more
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Morel and Voevodsky as mentioned in this paper gave an introduction to unstable motivic homotopy theory, and survey some results of their work on unstable homotope homotopies.Abstract:
We give an introduction to unstable motivic homotopy theory of Morel and Voevodsky, and survey some results.read more
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The non-singular cubic surfaces
TL;DR: Segre as discussed by the authors showed that a line of the Steiner system of nine lines can be represented by the intersection of a ray b of the pencil β, with a ray c of these two pencils γ, and meets the six lines indicated by the intersections of b and c with the rays of α.
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On the parametrized Tate construction and two theories of real $p$-cyclotomic spectra
J.D. Quigley,Jay Shah +1 more
TL;DR: In this article, a new formula for $p$-typical real topological cyclic homology was given, which refines the fiber sequence formula discovered by Nikolaus and Scholze for real topology homology to one involving genuine dihedral spectra.
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Computing A1-Euler numbers with Macaulay2
TL;DR: In this article, the count of lines on a general cubic surface using Macaulay2 over Fp in GW(Fp) for p a prime number and over the rational numbers Q in GW (Q) was shown to be 3+12h in the hyperbolic form.
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A^1-homotopy theory and contractible varieties: a survey
Aravind Asok,Paul Arne Østvær +1 more
TL;DR: The authors survey some topics in homotopy theory and affine algebraic geometry, focusing on the varieties that are "contractible" from various standpoints, and highlight the interplay between affine algebras and homotope theory.
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Éléments de géométrie algébrique
TL;DR: In this paper, the authors present conditions générales d'utilisation (http://www.numdam.org/conditions), i.e., Toute copie ou impression de ce fichier doit contenir la présente mention de copyright.
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Geometric Invariant Theory
TL;DR: Geometric invariant theory for moduli spaces has been studied extensively in the mathematical community as mentioned in this paper, with a large number of applications to the moduli space construction problem, see, for instance, the work of Mumford and Fogarty.
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Sheaves in Geometry and Logic: A First Introduction to Topos Theory
TL;DR: Topos theory has been studied at the graduate student level for a long time, see as discussed by the authors for an overview of the main applications of topos in algebraic geometry and logic.
Journal ArticleDOI
$A^1$-homotopy theory of schemes
Fabien Morel,Vladimir Voevodsky +1 more
TL;DR: In this article, the authors present a legal opinion on the applicability of commercial or impression systématiques in the context of the agreement of the publication mathématique de l'I.H.É.S.