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Generic point

In algebraic geometry, a generic point P of an algebraic variety X is a point in a general position, at which all generic properties are true, a generic property being a property which is true for almost every point.

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Overview

Definition and motivation

Examples

History

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Map overview Semantic statistics

Generic point

Nodes46
Edges45
Triples19
Avg. degree1.96
Density0.043478
Components1

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Generic point

Top relations

related to history · 13
Generic point → Algebraic Geometry, André Weil, For, Foundations, In, K-Zariski, Kolmogorov, Oscar Zariski, São Paulo, This, Weil's, World War II, Zariski
related to Examples · 3
Generic point → Any, Hausdorff, The
related to Definition and motivation · 2
Generic point → The, Zariski
is a · 1
Generic point → singleton set.Any integral scheme has a

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Important terminology

generic point algebraic points space geometry spectrum unique zariski theory topological variety general field valuation special scheme domain ideal topology

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Generic pointis asingleton set.Any integral scheme has a0.90text
Generic pointrelated to Definition and motivationThe0.60section
Generic pointrelated to Definition and motivationZariski0.60section
Generic pointrelated to ExamplesThe0.60section
Generic pointrelated to ExamplesHausdorff0.60section
Generic pointrelated to ExamplesAny0.60section
Generic pointrelated to historyIn0.60section
Generic pointrelated to historyAndré Weil0.60section
Generic pointrelated to historyFoundations0.60section
Generic pointrelated to historyAlgebraic Geometry0.60section
Generic pointrelated to historyFor0.60section
Generic pointrelated to historyThis0.60section

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    Min side: 3
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