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In mathematics, a Zariski geometry consists of an abstract structure introduced by Ehud Hrushovski and Boris Zilber, in order to give a characterisation of the Zariski topology on an algebraic curve, and all its powers. The Zariski topology on a product of algebraic varieties is very rarely the product topology, but richer in closed sets defined by equations that mix two sets of variables. The result described gives that a very definite meaning, applying to projective curves and compact Riemann surfaces in particular.

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  • In mathematics, a Zariski geometry consists of an abstract structure introduced by Ehud Hrushovski and Boris Zilber, in order to give a characterisation of the Zariski topology on an algebraic curve, and all its powers. The Zariski topology on a product of algebraic varieties is very rarely the product topology, but richer in closed sets defined by equations that mix two sets of variables. The result described gives that a very definite meaning, applying to projective curves and compact Riemann surfaces in particular. (en)
  • Na matemática, a geometria de Zariski consiste de uma estrutura abstrata apresentada por Ehud Hrushovski e Boris Zilber, com intuito de dar caracterização a Topologia de Zariski numa curva algébrica, e tudo que está em seu poder. A topologia de Zariski num produto de variedades algébricas é muito raro uma Topologia produto, porém mais rica em conjuntos fechados definidos por equações que misturam dois conjuntos de variáveis. O resultado descrito dá um sentido bem definido aplicado a e superfície de Riemann em particular. (pt)
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  • In mathematics, a Zariski geometry consists of an abstract structure introduced by Ehud Hrushovski and Boris Zilber, in order to give a characterisation of the Zariski topology on an algebraic curve, and all its powers. The Zariski topology on a product of algebraic varieties is very rarely the product topology, but richer in closed sets defined by equations that mix two sets of variables. The result described gives that a very definite meaning, applying to projective curves and compact Riemann surfaces in particular. (en)
  • Na matemática, a geometria de Zariski consiste de uma estrutura abstrata apresentada por Ehud Hrushovski e Boris Zilber, com intuito de dar caracterização a Topologia de Zariski numa curva algébrica, e tudo que está em seu poder. A topologia de Zariski num produto de variedades algébricas é muito raro uma Topologia produto, porém mais rica em conjuntos fechados definidos por equações que misturam dois conjuntos de variáveis. O resultado descrito dá um sentido bem definido aplicado a e superfície de Riemann em particular. (pt)
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  • Geometria de Zariski (pt)
  • Zariski geometry (en)
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