Deformations of Noncompact Calabi-Yau threefolds

We describe deformations of noncompact Calabi-Yau threefoldsWk := Tot(OP1 (-k) ⊕ OP1 (k - 2)),for k = 1, 2, 3. We compute deformations concretely by calculations of the cohomology group H1(Wk, TWk) via Čech cohomology. We show that for each k = 1, 2, 3 the associated structures are qualitatively dif...

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Autores:
Gasparim, Elizabeth
Köppe, Thomas
Rubilar, Francisco
Suzuki, Bruno
Tipo de recurso:
Article of journal
Fecha de publicación:
2018
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/66423
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/66423
http://bdigital.unal.edu.co/67451/
Palabra clave:
51 Matemáticas / Mathematics
Calabi-Yau
Deformations of noncompact manifolds
Calabi-Yau
Deformaciones de variedades no compactas
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openAccess
License
Atribución-NoComercial 4.0 Internacional
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spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Gasparim, Elizabethbd638ddc-7c97-452f-9b6b-81bfb5f89295300Köppe, Thomas871947dd-5738-4a30-b0d6-9c369a175d8e300Rubilar, Francisco2f63f38b-6a29-4097-b1b8-f48e76b39157300Suzuki, Brunoaec7fa10-da6f-4dbc-9d2c-691a6525eebd3002019-07-03T02:05:59Z2019-07-03T02:05:59Z2018-01-01ISSN: 2357-4100https://repositorio.unal.edu.co/handle/unal/66423http://bdigital.unal.edu.co/67451/We describe deformations of noncompact Calabi-Yau threefoldsWk := Tot(OP1 (-k) ⊕ OP1 (k - 2)),for k = 1, 2, 3. We compute deformations concretely by calculations of the cohomology group H1(Wk, TWk) via Čech 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 non-compact twofolds Tot(OP1 (-k)).Describimos deformaciones de 3-variedades Calabi-Yau no compactasWk := Tot(OP1 (-k) ⊕ OP1 (k - 2)),para k = 1, 2, 3. Concretamente, calculamos las deformaciones a través del primer grupo de cohomología H1(Wk, TWk) vía cohomología de Čech. 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)).application/pdfspaUniversidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Matemáticas - Sociedad Colombiana de Matemáticashttps://revistas.unal.edu.co/index.php/recolma/article/view/74554Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasGasparim, Elizabeth and Köppe, Thomas and Rubilar, Francisco and Suzuki, Bruno (2018) Deformations of Noncompact Calabi-Yau threefolds. Revista Colombiana de Matemáticas, 52 (1). pp. 41-57. ISSN 2357-410051 Matemáticas / MathematicsCalabi-YauDeformations of noncompact manifoldsCalabi-YauDeformaciones de variedades no compactasDeformations of Noncompact Calabi-Yau threefoldsArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTORIGINAL74554-395538-1-SM.pdfapplication/pdf420674https://repositorio.unal.edu.co/bitstream/unal/66423/1/74554-395538-1-SM.pdfed64eec6d8c9317c4225a60a02c39579MD51THUMBNAIL74554-395538-1-SM.pdf.jpg74554-395538-1-SM.pdf.jpgGenerated Thumbnailimage/jpeg5176https://repositorio.unal.edu.co/bitstream/unal/66423/2/74554-395538-1-SM.pdf.jpg7beb4e516d7ac53287dd5b1d35b26cd0MD52unal/66423oai:repositorio.unal.edu.co:unal/664232023-05-24 23:03:21.493Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Deformations of Noncompact Calabi-Yau threefolds
title Deformations of Noncompact Calabi-Yau threefolds
spellingShingle Deformations of Noncompact Calabi-Yau threefolds
51 Matemáticas / Mathematics
Calabi-Yau
Deformations of noncompact manifolds
Calabi-Yau
Deformaciones de variedades no compactas
title_short Deformations of Noncompact Calabi-Yau threefolds
title_full Deformations of Noncompact Calabi-Yau threefolds
title_fullStr Deformations of Noncompact Calabi-Yau threefolds
title_full_unstemmed Deformations of Noncompact Calabi-Yau threefolds
title_sort Deformations of Noncompact Calabi-Yau threefolds
dc.creator.fl_str_mv Gasparim, Elizabeth
Köppe, Thomas
Rubilar, Francisco
Suzuki, Bruno
dc.contributor.author.spa.fl_str_mv Gasparim, Elizabeth
Köppe, Thomas
Rubilar, Francisco
Suzuki, Bruno
dc.subject.ddc.spa.fl_str_mv 51 Matemáticas / Mathematics
topic 51 Matemáticas / Mathematics
Calabi-Yau
Deformations of noncompact manifolds
Calabi-Yau
Deformaciones de variedades no compactas
dc.subject.proposal.spa.fl_str_mv Calabi-Yau
Deformations of noncompact manifolds
Calabi-Yau
Deformaciones de variedades no compactas
description We describe deformations of noncompact Calabi-Yau threefoldsWk := Tot(OP1 (-k) ⊕ OP1 (k - 2)),for k = 1, 2, 3. We compute deformations concretely by calculations of the cohomology group H1(Wk, TWk) via Čech 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 non-compact twofolds Tot(OP1 (-k)).
publishDate 2018
dc.date.issued.spa.fl_str_mv 2018-01-01
dc.date.accessioned.spa.fl_str_mv 2019-07-03T02:05:59Z
dc.date.available.spa.fl_str_mv 2019-07-03T02:05:59Z
dc.type.spa.fl_str_mv Artículo de revista
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dc.identifier.issn.spa.fl_str_mv ISSN: 2357-4100
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identifier_str_mv ISSN: 2357-4100
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dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas
Revista Colombiana de Matemáticas
dc.relation.references.spa.fl_str_mv Gasparim, Elizabeth and Köppe, Thomas and Rubilar, Francisco and Suzuki, Bruno (2018) Deformations of Noncompact Calabi-Yau threefolds. Revista Colombiana de Matemáticas, 52 (1). pp. 41-57. ISSN 2357-4100
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
dc.rights.uri.spa.fl_str_mv http://creativecommons.org/licenses/by-nc/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Matemáticas - Sociedad Colombiana de Matemáticas
institution Universidad Nacional de Colombia
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