<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>0121-7488</journal-id>
<journal-title><![CDATA[Ciencia en Desarrollo]]></journal-title>
<abbrev-journal-title><![CDATA[Ciencia en Desarrollo]]></abbrev-journal-title>
<issn>0121-7488</issn>
<publisher>
<publisher-name><![CDATA[Universidad Pedagógica y Tecnológica de Colombia]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0121-74882024000100155</article-id>
<article-id pub-id-type="doi">10.19053/01217488.v15.n1.2024.16237</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Una revisión a las geometrías de Zariski uno-dimensionales]]></article-title>
<article-title xml:lang="en"><![CDATA[A review of one-dimensional Zariski geometries]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Torres del Valle]]></surname>
<given-names><![CDATA[Joel]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Hernández Rizzo]]></surname>
<given-names><![CDATA[Pedro]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad de Antioquia  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Colombia</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Universidad de Antioquia  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Colombia</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>06</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>06</month>
<year>2024</year>
</pub-date>
<volume>15</volume>
<numero>1</numero>
<fpage>155</fpage>
<lpage>170</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0121-74882024000100155&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0121-74882024000100155&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0121-74882024000100155&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen En este artículo, realizamos una revision de las geometrías de Zariski de dimension uno. Comenzamos con una breve retrospectiva de conceptos clave en teoría de modelos y su evolución histórica. Luego, introducimos conceptos en geometría algebraica, explorando la intersection con la teoría de modelos para motivar la teoría de modelos geométrica. Destacamos la Conjetura de Tricotomía de Zilber y como la refutación de Hmshovski condujo a Zilber y Hmshovski a aislar la clase de estructuras donde la conjetura tiene validez, dando origen a las geometrías de Zariski. Concluimos presentando los resultados obtenidos por Zilber y Hmshovski en los 90s y ofrecemos una revision bibliográfica actualizada del tema.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract In this article, we present a comprehensive review of Zariski geometries of dimension one. We begin with a brief retrospective of key concepts in model theory and its historical evolution. Subsequently, we introduce concepts in algebraic geometry, exploring their intersection with model theory to establish geometric model theory. We emphasize Zilber's Trichotomy Conjecture and how Hmshovski's refutation led Zilber and Hmshovski to isolate the class of structures where the conjecture holds, giving rise to Zariski geometries. We conclude by presenting the results obtained by Zilber and Hmshovski in the 90s and provide an updated bibliographic review of the topic.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[Geometrías de Zariski]]></kwd>
<kwd lng="es"><![CDATA[teoría de modelos]]></kwd>
<kwd lng="es"><![CDATA[geometría algebraica]]></kwd>
<kwd lng="en"><![CDATA[Zariski geometry]]></kwd>
<kwd lng="en"><![CDATA[model theory]]></kwd>
<kwd lng="en"><![CDATA[algebraic geometry]]></kwd>
</kwd-group>
</article-meta>
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