Scheme theory

Chevalley scheme

A Chevalley scheme in algebraic geometry was a precursor notion of scheme theory. Let X be a separated integral noetherian scheme, R its function field. If we denote by the set of subrings of R, where x runs through X (when , we denote by ), verifies the following three properties * For each , R is the field of fractions of M. * There is a finite set of noetherian subrings of R so that and that, for each pair of indices i,j, the subring of R generated by is an -algebra of finite type. * If in are such that the maximal ideal of M is contained in that of N, then M=N. Originally, Chevalley also supposed that R was an extension of finite type of a field K and that the 's were algebras of finite type over a field too (this simplifies the second condition above). (Wikipedia).

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Chasseurs de Particules

Un tour sportif à travers l'expérience CMS, ses buts, et un zèste de sa physique.

From playlist Français

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ALLOTROPES - a quick definition

A quick definition of allotropes. Chem Fairy: Louise McCartney Director: Michael Harrison Written and Produced by Kimberly Hatch Harrison ♦♦♦♦♦♦♦♦♦♦ Ways to support our channel: ► Join our Patreon : https://www.patreon.com/socratica ► Make a one-time PayPal donation: https://www.payp

From playlist Chemistry glossary

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Theorem 1.10 - part 10.5 - Neron-Ogg-Shafarevich - Structure of m-Torsion of A mod p

Here we use the theory of Neron Models, Chevalley-Rosenlicht, and a handful of other things to determine the structure of the torsion of an Abelian variety with bad reduction modulo p. This is used in proving the hard part of the Neron-Ogg-Shafarevich criterion: if an abelian variety has a

From playlist Theorem 1.10

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DesmosLIVE: An Exploration of Desmos + Mathalicious

Kate Nowak of Mathalicious explores a few Mathalicious lessons with Desmos

From playlist Desmos LIVE

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Schemes 5: Definition of a scheme

This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne. We give some historical background, then give the definition of a scheme and some simple examples, and finish by explaining the origin of the word "spectrum".

From playlist Algebraic geometry II: Schemes

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Quantum field theory, Lecture 2

This winter semester (2016-2017) I am giving a course on quantum field theory. This course is intended for theorists with familiarity with advanced quantum mechanics and statistical physics. The main objective is introduce the building blocks of quantum electrodynamics. Here in Lecture 2

From playlist Quantum Field Theory

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Introduction to number theory lecture 22. Chevalley-Warning theorem

This lecture is part of my Berkeley math 115 course "Introduction to number theory" For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj53L8sMbzIhhXSAOpuZ1Fov8 We discuss the Chevalley-Warning theorem, which says roughly that it is easy to find soluti

From playlist Introduction to number theory (Berkeley Math 115)

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Theory of numbers: Chevalley-Warning theorem

This lecture is part of an online undergraduate course on the theory of numbers. We prove the Chevalley-Warning theorem, which which gives conditions for a polynomial in several variables to have a solution modulo a prime. For the other lectures in the course see https://www.youtube.

From playlist Theory of numbers

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Oksana Yakimova, Research talk - 30 January 2015

Oksana Yakimova (Universität Jena) - Research talk http://www.crm.sns.it/course/4158/ On symmetric invariants of semi-direct products. Let $\mathfrak g$ be a complex reductive Lie algebra. By the Chevalley restriction theorem, the subalgebra of symmetric invariants $S(\mathfrak g)^{\math

From playlist Lie Theory and Representation Theory - 2015

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Cédric Bonnafé: Calogero-Moser cellular characters : the smooth case

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Algebraic and Complex Geometry

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Ivan Marin: Report on the BMR freeness conjecture

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Algebra

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Gopal Prasad: Descent in Bruhat-Tits theory

Bruhat-Tits theory applies to a semisimple group G, defined over an henselian discretly valued field K, such that G admits a Borel K-subgroup after an extension of K. The construction of the theory goes then by a deep Galois descent argument for the building and also for the parahoric grou

From playlist Algebraic and Complex Geometry

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What Is Quantum Computing | Quantum Computing Explained | Quantum Computer | #Shorts | Simplilearn

🔥Explore Our Free Courses With Completion Certificate by SkillUp: https://www.simplilearn.com/skillup-free-online-courses?utm_campaign=QuantumComputingShorts&utm_medium=ShortsDescription&utm_source=youtube Quantum computing is a branch of computing that focuses on developing computer tech

From playlist #Shorts | #Simplilearn

Related pages

Function field of an algebraic variety | Jean Dieudonné | Algebraic geometry | Éléments de géométrie algébrique | Noetherian scheme