<?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>S0034-74262018000100041</article-id>
<article-id pub-id-type="doi">10.15446/recolma.v1n52.74554</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Deformations of Noncompact Calabi-Yau threefolds]]></article-title>
<article-title xml:lang="es"><![CDATA[Deformaciones de Tres-variedades Calabi-Yau no Compactas]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Gasparim]]></surname>
<given-names><![CDATA[Elizabeth]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Köppe]]></surname>
<given-names><![CDATA[Thomas]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Rubilar]]></surname>
<given-names><![CDATA[Francisco]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Suzuki]]></surname>
<given-names><![CDATA[Bruno]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Católica del Norte  ]]></institution>
<addr-line><![CDATA[Antofagasta ]]></addr-line>
<country>Chile</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Universidad Católica del Norte  ]]></institution>
<addr-line><![CDATA[Antofagasta ]]></addr-line>
<country>Chile</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,Universidad Católica del Norte  ]]></institution>
<addr-line><![CDATA[Antofagasta ]]></addr-line>
<country>Chile</country>
</aff>
<aff id="Af4">
<institution><![CDATA[,Universidad Católica del Norte  ]]></institution>
<addr-line><![CDATA[Antofagasta ]]></addr-line>
<country>Chile</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>06</month>
<year>2018</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>06</month>
<year>2018</year>
</pub-date>
<volume>52</volume>
<numero>1</numero>
<fpage>41</fpage>
<lpage>57</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0034-74262018000100041&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0034-74262018000100041&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0034-74262018000100041&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract: We describe deformations of noncompact Calabi-Yau threefolds  for k = 1, 2, 3. We compute deformations concretely by calculations of the cohomology group H1(W  k , TW  k ) via &#268;ech cohomology. We show that for each k = 1, 2, 3 the associated structures are qualitatively different, and we also comment on their differences from the analogous structures of simpler noncompact twofolds Tot(OP1(-k)).]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen: Describimos deformaciones de 3-variedades Calabi-Yau no compactas  para k = 1, 2, 3. Concretamente, calculamos las deformaciones a través del primer grupo de cohomología H1(W  k , TW  k ) vía cohomología de &#268;ech. Mostramos que para cada k = 1, 2, 3, las estructuras asociadas son cualitativamente distintas y, además, comentamos sobre sus diferencias con las estructuras análogas de las 2-variedades no compactas Tot(OP1(-k)).]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Calabi-Yau]]></kwd>
<kwd lng="en"><![CDATA[Deformations of noncompact manifolds]]></kwd>
<kwd lng="es"><![CDATA[Calabi-Yau]]></kwd>
<kwd lng="es"><![CDATA[Deformaciones de variedades no compactas]]></kwd>
</kwd-group>
</article-meta>
</front><back>
<ref-list>
<ref id="B1">
<label>1</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ballico]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
<name>
<surname><![CDATA[Barmeier]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Gasparim]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
<name>
<surname><![CDATA[Grama]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
<name>
<surname><![CDATA[San Martin]]></surname>
<given-names><![CDATA[L.A.B]]></given-names>
</name>
</person-group>
<source><![CDATA[A Lie theoretical construction of a Landau-Ginzburg model without projective mirrors, arXiv:1610.06965]]></source>
<year></year>
</nlm-citation>
</ref>
<ref id="B2">
<label>2</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Barmeier]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Gasparim]]></surname>
<given-names><![CDATA[E]]></given-names>
</name>
</person-group>
<source><![CDATA[Classical deformations of local surfaces and their moduli spaces of instantons, arXiv:1604.01133]]></source>
<year>2017</year>
</nlm-citation>
</ref>
<ref id="B3">
<label>3</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Bershadsky]]></surname>
<given-names><![CDATA[M]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Kodaira-Spencer theory of gravity]]></article-title>
<source><![CDATA[Quantum Field Theory and String Theory]]></source>
<year>1995</year>
<volume>328</volume>
<page-range>23-38</page-range></nlm-citation>
</ref>
<ref id="B4">
<label>4</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Gasparim]]></surname>
<given-names><![CDATA[E]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Holomorphic bundles on O(-k) are algebraic]]></article-title>
<source><![CDATA[Communications in Algebra]]></source>
<year>1997</year>
<volume>25</volume>
<numero>9</numero>
<issue>9</issue>
<page-range>3001-9</page-range></nlm-citation>
</ref>
<ref id="B5">
<label>5</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Hartshorne]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
</person-group>
<source><![CDATA[Algebraic Geometry, graduate texts in mathematics]]></source>
<year>1977</year>
<edition>52</edition>
<publisher-loc><![CDATA[New York ]]></publisher-loc>
<publisher-name><![CDATA[Springer-Verlag]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B6">
<label>6</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Jiménez]]></surname>
<given-names><![CDATA[J]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Contraction of nonsingular curves]]></article-title>
<source><![CDATA[Duke Math]]></source>
<year>1992</year>
<volume>65</volume>
<page-range>313-32</page-range></nlm-citation>
</ref>
<ref id="B7">
<label>7</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Kodaira]]></surname>
<given-names><![CDATA[K]]></given-names>
</name>
</person-group>
<source><![CDATA[Complex manifolds and deformations of complex structures]]></source>
<year>1986</year>
<publisher-loc><![CDATA[Berlin ]]></publisher-loc>
<publisher-name><![CDATA[Springer]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B8">
<label>8</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Manetti]]></surname>
<given-names><![CDATA[M]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Lectures on deformations of complex manifolds (deformations from differential graded viewpoint)]]></article-title>
<source><![CDATA[Rend. Mat. Appl]]></source>
<year>2004</year>
<volume>7</volume>
</nlm-citation>
</ref>
<ref id="B9">
<label>9</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Rubilar]]></surname>
<given-names><![CDATA[F]]></given-names>
</name>
</person-group>
<source><![CDATA[Deformaciones de estructuras complejas de 3-variedades Calabi-Yau]]></source>
<year>2017</year>
<publisher-loc><![CDATA[Antofagasta, Chile ]]></publisher-loc>
<publisher-name><![CDATA[Universidad Católica del Norte]]></publisher-name>
</nlm-citation>
</ref>
</ref-list>
</back>
</article>
