Multiplicity theory

id: multiplicity-theory-246-7608060
title: Multiplicity theory
text: In abstract algebra, multiplicity theory concerns the multiplicity of a module M at an ideal I The notion of the multiplicity of a module is a generalization of the degree of a projective variety. By Serre's intersection formula, it is linked to an intersection multiplicity in the intersection theory. The main focus of the theory is to detect and measure a singular point of an algebraic variety. Because of this aspect, valuation theory, Rees algebras and integral closure are intimately connected
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Multiplicity_theory
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date modified: 2023-08-09T12:44:03Z
main entity: {"identifier":"Q48995823","url":"https://www.wikidata.org/entity/Q48995823"}
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fields total: 13
integrity: 13

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