Local Properties

Igor R. Shafarevich
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Igor R. Shafarevich: Steklov Mathematical Institute

Chapter Chapter II in Basic Algebraic Geometry 1, 1994, pp 83-149 from Springer

Abstract: Abstract This chapter investigates local properties of points of algebraic varieties, that is, properties of points x ∈ X that remain unchanged if X is replaced by any neighbourhood of x. Since any point has an affine neighbourhood, in the study of local properties of points we can restrict ourselves to affine varieties

Keywords: Singular Point; Tangent Space; Local Parameter; Local Ring; Tangent Cone (search for similar items in EconPapers)
Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-57908-0_2

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DOI: 10.1007/978-3-642-57908-0_2

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