A new proof of D. Popescu’s theorem on smoothing of ring homomorphisms
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In this paper, the authors propose a method to solve the problem of "uniformity" and "uncertainty" in the context of health care, and propose a solution.Abstract:
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Triangulated categories of mixed motives
TL;DR: In this paper, the authors discuss the construction of triangulated categories of mixed motives over a noetherian scheme of finite dimension, extending Voevodsky's definition of motives over fields.
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Desingularization of quasi-excellent schemes in characteristic zero
TL;DR: For algebraic varieties of characteristic zero, this article proved the resolution of singularities for noetherian quasi-excellent Q-schemes and proved that the converse is probably true.
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A Luna \'etale slice theorem for algebraic stacks
Jarod Alper,Jack Hall,David Rydh +2 more
TL;DR: In this paper, it was shown that every algebraic stack, locally of finite type over an algebraically closed field with affine stabilizers, is etale-locally a quotient stack in a neighborhood of a point with a linearly reductive stabilizer group.
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The Use of Ultraproducts in Commutative Algebra
TL;DR: In this paper, the flatness and uniform bounds of flat products are characterized by tight closure in positive characteristic and tight closure closed in negative characteristic zero, and asymptotic homological conjectures in mixed characteristic.
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Submersions and effective descent of étale morphisms
TL;DR: In this paper, Picavet et al. applique le theoreme de "platification" de Raynaud et Gruson aux morphismes subtrusifs and obtient le theorem of structure suivant: Tout morphisme universellement sub-trusifier de presentation finie a un raffinement se factorisant en un recouvrement ouvert suivi d'un morphismse propre.
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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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Éléments de géométrie algébrique : IV. Étude locale des schémas et des morphismes de schémas, Troisième partie
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Algebraic approximation of structures over complete local rings
TL;DR: In this paper, the authors present a set of conditions générales d'utilisation of commercial or impression systématique, i.e., the copie ou impression de ce fichier doit contenir la présente mention de copyright.