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href="http://dbpedia.org/resource/Generic_point">Generic point</a> </h1> </div> </div> <div class="row"> <div class="col"> <div class="text-muted"> An Entity of Type: <a href="javascript:void()">Thing</a>, from Named Graph: <a href="http://dbpedia.org">http://dbpedia.org</a>, within Data Space: <a href="http://dbpedia.org">dbpedia.org</a> </div> </div> </div> <div class="row pt-2"> <div class="col-xs-9 col-sm-10"> In algebraic geometry, a generic point P of an algebraic variety X is, roughly speaking, a point at which all generic properties are true, a generic property being a property which is true for almost every point. In classical algebraic geometry, a generic point of an affine or projective algebraic variety of dimension d is a point such that the field generated by its coordinates has transcendence degree d over the field generated by the coefficients of the equations of the variety. </div> </div> </div> </section>   <section> <div class="container-xl"> <div class="row"> <div class="table-responsive"> <table class="table table-hover table-sm table-light"> <thead> <tr> <th class="col-xs-3 ">Property</th> <th class="col-xs-9 px-3">Value</th> </tr> </thead> <tbody> <tr class="odd"><td class="col-2"><a class="uri" href="http://dbpedia.org/ontology/abstract">dbo:abstract</a> </td><td class="col-10 text-break"><ul> <li style="display:none;">Der Begriff des generischen Punktes gehört zum mathematischen Teilgebiet der mengentheoretischen Topologie, findet jedoch hauptsächlich in der algebraischen Geometrie Anwendung. (de)</li> <li>In algebraic geometry, a generic point P of an algebraic variety X is, roughly speaking, a point at which all generic properties are true, a generic property being a property which is true for almost every point. In classical algebraic geometry, a generic point of an affine or projective algebraic variety of dimension d is a point such that the field generated by its coordinates has transcendence degree d over the field generated by the coefficients of the equations of the variety. In scheme theory, the spectrum of an integral domain has a unique generic point, which is the zero ideal. As the closure of this point for the Zariski topology is the whole spectrum, the definition has been extended to general topology, where a generic point of a topological space X is a point whose closure is X. (en)</li> <li style="display:none;">대수기하학과 일반위상수학에서 일반점(一般點, 영어: generic point)은 공간 전체에 대하여 조밀한 점이다. 대수기하학에서, 어떤 대수다양체의 "거의 모든 점들"을 나타낼 때 쓰인다. (ko)</li> <li style="display:none;">Общая точка — такая точка топологического пространства, что окрестность любой другой точки содержит её. Иными словами, общая точка образует одноточечное плотное множество в пространстве, то есть замыкание общей точки совпадает со всем пространством. В пространстве, удовлетворяющем аксиоме Колмогорова, не может быть более одной общей точки.Если пространство имеет общую точку, то оно является ; обратное, вообще говоря, неверно. Примерами пространств с общей точкой является неприводимое алгебраическое многообразие или неприводимая схема. В этих пространствах существует единственная общая точка — спектр поля рациональных функций многообразия. (ru)</li> <li style="display:none;">Em matemática, nos campos da topologia geral e particularmente da geometria algébrica, um ponto genérico P de um espaço topológico X é um meio algébrico de entender-se a noção de uma : a propriedade genérica é uma propriedade do ponto genérico. 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href="http://dbpedia.org/resource/Template:Cite_book">dbt:Cite_book</a></li> <li><a class="uri" rel="dbp:wikiPageUsesTemplate" resource="http://dbpedia.org/resource/Template:Refbegin" href="http://dbpedia.org/resource/Template:Refbegin">dbt:Refbegin</a></li> <li><a class="uri" rel="dbp:wikiPageUsesTemplate" resource="http://dbpedia.org/resource/Template:Refend" href="http://dbpedia.org/resource/Template:Refend">dbt:Refend</a></li> <li><a class="uri" rel="dbp:wikiPageUsesTemplate" resource="http://dbpedia.org/resource/Template:Refimprove" href="http://dbpedia.org/resource/Template:Refimprove">dbt:Refimprove</a></li> <li><a class="uri" rel="dbp:wikiPageUsesTemplate" resource="http://dbpedia.org/resource/Template:Short_description" href="http://dbpedia.org/resource/Template:Short_description">dbt:Short_description</a></li> </ul></td></tr><tr class="odd"><td class="col-2"><a class="uri" href="http://purl.org/dc/terms/subject">dct:subject</a> </td><td class="col-10 text-break"><ul> <li><a class="uri" rel="dct:subject" resource="http://dbpedia.org/resource/Category:Algebraic_geometry" href="http://dbpedia.org/resource/Category:Algebraic_geometry">dbc:Algebraic_geometry</a></li> <li><a class="uri" rel="dct:subject" resource="http://dbpedia.org/resource/Category:General_topology" href="http://dbpedia.org/resource/Category:General_topology">dbc:General_topology</a></li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://purl.org/linguistics/gold/hypernym">gold:hypernym</a> </td><td class="col-10 text-break"><ul> <li><a class="uri" rel="gold:hypernym" resource="http://dbpedia.org/resource/Way" prefix="gold: http://purl.org/linguistics/gold/" href="http://dbpedia.org/resource/Way">dbr:Way</a></li> </ul></td></tr><tr class="odd"><td class="col-2"><a class="uri" href="http://www.w3.org/2000/01/rdf-schema#comment">rdfs:comment</a> </td><td class="col-10 text-break"><ul> <li style="display:none;">Der Begriff des generischen Punktes gehört zum mathematischen Teilgebiet der mengentheoretischen Topologie, findet jedoch hauptsächlich in der algebraischen Geometrie Anwendung. (de)</li> <li style="display:none;">대수기하학과 일반위상수학에서 일반점(一般點, 영어: generic point)은 공간 전체에 대하여 조밀한 점이다. 대수기하학에서, 어떤 대수다양체의 "거의 모든 점들"을 나타낼 때 쓰인다. (ko)</li> <li style="display:none;">Em matemática, nos campos da topologia geral e particularmente da geometria algébrica, um ponto genérico P de um espaço topológico X é um meio algébrico de entender-se a noção de uma : a propriedade genérica é uma propriedade do ponto genérico. (pt)</li> <li>In algebraic geometry, a generic point P of an algebraic variety X is, roughly speaking, a point at which all generic properties are true, a generic property being a property which is true for almost every point. In classical algebraic geometry, a generic point of an affine or projective algebraic variety of dimension d is a point such that the field generated by its coordinates has transcendence degree d over the field generated by the coefficients of the equations of the variety. (en)</li> <li style="display:none;">Общая точка — такая точка топологического пространства, что окрестность любой другой точки содержит её. Иными словами, общая точка образует одноточечное плотное множество в пространстве, то есть замыкание общей точки совпадает со всем пространством. В пространстве, удовлетворяющем аксиоме Колмогорова, не может быть более одной общей точки.Если пространство имеет общую точку, то оно является ; обратное, вообще говоря, неверно. 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