Matches in DBpedia 2016-04 for { <http://wikidata.dbpedia.org/resource/Q648995> ?p ?o }
- Q648995 subject Q7331861.
- Q648995 subject Q8234760.
- Q648995 abstract "Algebraic varieties are the central objects of study in algebraic geometry. Classically, an algebraic variety is defined as the set of solutions of a system of polynomial equations over the real or complex numbers. Modern definitions generalize this concept in several different ways, while attempting to preserve the geometric intuition behind the original definition.Conventions regarding the definition of an algebraic variety differ slightly. For example, some definitions provide that algebraic variety is irreducible, which means that it is not the union of two smaller sets that are closed in the Zariski topology. Under this definition, non-irreducible algebraic varieties are called algebraic sets. Other conventions do not require irreducibility. The concept of an algebraic variety is similar to that of an analytic manifold. An important difference is that an algebraic variety may have singular points, while a manifold cannot. The fundamental theorem of algebra establishes a link between algebra and geometry by showing that a monic polynomial (an algebraic object) in one variable with complex number coefficients is determined by the set of its roots (a geometric object) in the complex plane. Generalizing this result, Hilbert's Nullstellensatz provides a fundamental correspondence between ideals of polynomial rings and algebraic sets. Using the Nullstellensatz and related results, mathematicians have established a strong correspondence between questions on algebraic sets and questions of ring theory. This correspondence is the specificity of algebraic geometry.".
- Q648995 thumbnail Twisted_cubic_curve.png?width=300.
- Q648995 wikiPageExternalLink ag.html.
- Q648995 wikiPageWikiLink Q1047547.
- Q648995 wikiPageWikiLink Q1062978.
- Q648995 wikiPageWikiLink Q1068976.
- Q648995 wikiPageWikiLink Q1069818.
- Q648995 wikiPageWikiLink Q11348.
- Q648995 wikiPageWikiLink Q1154351.
- Q648995 wikiPageWikiLink Q1155772.
- Q648995 wikiPageWikiLink Q11567.
- Q648995 wikiPageWikiLink Q1196652.
- Q648995 wikiPageWikiLink Q1208658.
- Q648995 wikiPageWikiLink Q125977.
- Q648995 wikiPageWikiLink Q12916.
- Q648995 wikiPageWikiLink Q129638.
- Q648995 wikiPageWikiLink Q1381102.
- Q648995 wikiPageWikiLink Q1397439.
- Q648995 wikiPageWikiLink Q1434805.
- Q648995 wikiPageWikiLink Q1455652.
- Q648995 wikiPageWikiLink Q1474074.
- Q648995 wikiPageWikiLink Q147978.
- Q648995 wikiPageWikiLink Q1493952.
- Q648995 wikiPageWikiLink Q1551631.
- Q648995 wikiPageWikiLink Q16783922.
- Q648995 wikiPageWikiLink Q168344.
- Q648995 wikiPageWikiLink Q1751685.
- Q648995 wikiPageWikiLink Q176916.
- Q648995 wikiPageWikiLink Q177646.
- Q648995 wikiPageWikiLink Q180969.
- Q648995 wikiPageWikiLink Q182003.
- Q648995 wikiPageWikiLink Q1879333.
- Q648995 wikiPageWikiLink Q192760.
- Q648995 wikiPageWikiLink Q19623879.
- Q648995 wikiPageWikiLink Q203425.
- Q648995 wikiPageWikiLink Q203920.
- Q648995 wikiPageWikiLink Q212063.
- Q648995 wikiPageWikiLink Q214604.
- Q648995 wikiPageWikiLink Q217413.
- Q648995 wikiPageWikiLink Q2397465.
- Q648995 wikiPageWikiLink Q266237.
- Q648995 wikiPageWikiLink Q268493.
- Q648995 wikiPageWikiLink Q2899466.
- Q648995 wikiPageWikiLink Q2996684.
- Q648995 wikiPageWikiLink Q303100.
- Q648995 wikiPageWikiLink Q3099696.
- Q648995 wikiPageWikiLink Q318751.
- Q648995 wikiPageWikiLink Q320357.
- Q648995 wikiPageWikiLink Q321119.
- Q648995 wikiPageWikiLink Q323232.
- Q648995 wikiPageWikiLink Q328998.
- Q648995 wikiPageWikiLink Q3341881.
- Q648995 wikiPageWikiLink Q3366885.
- Q648995 wikiPageWikiLink Q3392521.
- Q648995 wikiPageWikiLink Q3554818.
- Q648995 wikiPageWikiLink Q37105.
- Q648995 wikiPageWikiLink Q382698.
- Q648995 wikiPageWikiLink Q3889649.
- Q648995 wikiPageWikiLink Q392477.
- Q648995 wikiPageWikiLink Q3968.
- Q648995 wikiPageWikiLink Q44649.
- Q648995 wikiPageWikiLink Q4669870.
- Q648995 wikiPageWikiLink Q4724002.
- Q648995 wikiPageWikiLink Q4724008.
- Q648995 wikiPageWikiLink Q4724016.
- Q648995 wikiPageWikiLink Q5135342.
- Q648995 wikiPageWikiLink Q5156516.
- Q648995 wikiPageWikiLink Q5277261.
- Q648995 wikiPageWikiLink Q528525.
- Q648995 wikiPageWikiLink Q5474572.
- Q648995 wikiPageWikiLink Q5508773.
- Q648995 wikiPageWikiLink Q5532678.
- Q648995 wikiPageWikiLink Q5533839.
- Q648995 wikiPageWikiLink Q5891327.
- Q648995 wikiPageWikiLink Q595298.
- Q648995 wikiPageWikiLink Q619436.
- Q648995 wikiPageWikiLink Q628792.
- Q648995 wikiPageWikiLink Q634850.
- Q648995 wikiPageWikiLink Q648995.
- Q648995 wikiPageWikiLink Q658429.
- Q648995 wikiPageWikiLink Q6889798.
- Q648995 wikiPageWikiLink Q6966819.
- Q648995 wikiPageWikiLink Q6980793.
- Q648995 wikiPageWikiLink Q7269519.
- Q648995 wikiPageWikiLink Q7309604.
- Q648995 wikiPageWikiLink Q7331861.
- Q648995 wikiPageWikiLink Q7449354.
- Q648995 wikiPageWikiLink Q7524253.
- Q648995 wikiPageWikiLink Q7595945.
- Q648995 wikiPageWikiLink Q764115.
- Q648995 wikiPageWikiLink Q7663735.
- Q648995 wikiPageWikiLink Q77141.
- Q648995 wikiPageWikiLink Q7858555.
- Q648995 wikiPageWikiLink Q8066802.
- Q648995 wikiPageWikiLink Q8087.
- Q648995 wikiPageWikiLink Q8234760.
- Q648995 wikiPageWikiLink Q825857.
- Q648995 wikiPageWikiLink Q840023.