<?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>0034-7426</journal-id>
<journal-title><![CDATA[Revista Colombiana de Matemáticas]]></journal-title>
<abbrev-journal-title><![CDATA[Rev.colomb.mat.]]></abbrev-journal-title>
<issn>0034-7426</issn>
<publisher>
<publisher-name><![CDATA[Universidad Nacional de Colombia y Sociedad Colombiana de Matemáticas]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0034-74262020000100065</article-id>
<article-id pub-id-type="doi">10.15446/recolma.v54n1.89789</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[On n-th roots of meromorphic maps]]></article-title>
<article-title xml:lang="es"><![CDATA[Sobre raíces n-ésimas de funciones meromorfas]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[García]]></surname>
<given-names><![CDATA[Juan C.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Hidalgo]]></surname>
<given-names><![CDATA[Rubén A.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Central del Ecuador  ]]></institution>
<addr-line><![CDATA[Quito ]]></addr-line>
<country>Ecuador</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Universidad de La Frontera  ]]></institution>
<addr-line><![CDATA[Temuco ]]></addr-line>
<country>Chile</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>06</month>
<year>2020</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>06</month>
<year>2020</year>
</pub-date>
<volume>54</volume>
<numero>1</numero>
<fpage>65</fpage>
<lpage>74</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0034-74262020000100065&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0034-74262020000100065&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0034-74262020000100065&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract: Let S be a connected Riemann surface and let &#966;: S &#8594; &#264; be branched covering map of finite type. If n &#8805; 2, then we describe a simple geometrical necessary and sufficient condition for the existence of some n-th root, that is, a meromorphic map &#968;: S &#8594; &#264; such that &#966; = &#968; n .]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen: Sea S una superficie de Riemann conexa y &#966; : S &#8594; &#264; un cubrimiento ramificado holomorfo de tipo finito. Para cada n &#8805; 2 describimos una condición geométrica necesaria y suficiente para la existencia de alguna raíz n-ésima, esto es, una función meromorfa &#968;: S &#8594; &#264; de manera que &#966; = &#968; n .]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Riemann surfaces]]></kwd>
<kwd lng="en"><![CDATA[holomorphic branched coverings]]></kwd>
<kwd lng="en"><![CDATA[maps]]></kwd>
<kwd lng="es"><![CDATA[Superficies de Riemann]]></kwd>
<kwd lng="es"><![CDATA[cubrimientos ramificados holomorfos]]></kwd>
<kwd lng="es"><![CDATA[mapas]]></kwd>
</kwd-group>
</article-meta>
</front><back>
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