(Q2031596)

English

Zariski tangent space

tangent space associated to a point in a locally ringed space in algebraic geometry

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\mathrm {T} _{x}(X,{\mathcal {O}}_{X})=\hom({\mathcal {O}}_{X,x}/{\mathfrak {m}}_{x},{\mathfrak {m}}_{x}/({\mathfrak {m}}_{x})^{2})

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in defining formula

(X,{\mathcal {O}}_{X})

symbol represents

locally ringed space

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{\mathcal {O}}_{X}

symbol represents

structure sheaf

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{\mathcal {O}}_{X,x}

symbol represents

stalk

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{\mathfrak {m}}_{x}

symbol represents

maximal ideal

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x

symbol represents

point

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maintained by WikiProject

WikiProject Mathematics

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Identifiers

1 reference

28 October 2013

Microsoft Academic ID

182240218

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Sitelinks

Wikipedia(8 entries)

dewiki Zariski-Tangentialraum
enwiki Zariski tangent space
frwiki Espace tangent (géométrie algébrique)
idwiki Ruang singgung Zariski
jawiki ザリスキー接空間
kowiki 자리스키 접공간
ruwiki Касательное пространство Зарисского
ukwiki Дотичний простір Зариського

(Q2031596)

Zariski tangent space

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