Spaces of morphisms from a projective space to a toric variety
In this note we study the space of morphisms from a complex projective space to a compact smooth toric variety X. It is shown that the first author's stability theorem for the spaces of rational maps from CPm to CPn extends to the spaces of continuous morphisms from CPm to X, essentially, with...
- Autores:
-
Mostovoy, Jacob
Munguía-Villanueva, Eréndira
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2014
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/49347
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/49347
http://bdigital.unal.edu.co/42804/
- Palabra clave:
- Variedad tórica
espacios de morfismos tóricos
Teorema de Stone-Weierstrass
resolución simplicial
58D15
32Q55
Toric variety
Stone-Weierstrass Theorem
Spaces of toric morphisms
simplicial resolution
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
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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_abf2Mostovoy, Jacob39e8a4c0-60b9-455b-a583-a36b9b548539300Munguía-Villanueva, Eréndira28998a7e-0c60-4cd3-9fd5-e494647257bf3002019-06-29T08:36:58Z2019-06-29T08:36:58Z2014-06-25https://repositorio.unal.edu.co/handle/unal/49347http://bdigital.unal.edu.co/42804/In this note we study the space of morphisms from a complex projective space to a compact smooth toric variety X. It is shown that the first author's stability theorem for the spaces of rational maps from CPm to CPn extends to the spaces of continuous morphisms from CPm to X, essentially, with the same proof. In the case of curves, our result improves the known bounds for the stabilization dimension.En esta nota se estudia el espacio de morfismos de un espacio proyectivo complejo a una variedad tórica compacta no singular X. Se prueba que el teorema de estabilidad, demostrado por el primer autor para los espacios de funciones racionales de CPm a CPn, se extiende a los espacios de morfismos continuos de CPm a X, esencialmente con la misma demostración. En el caso de las curvas, nuestro resultado mejora las cotas conocidas para la dimensión de la estabilización.application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/45194Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 48, núm. 1 (2014); 41-53 2357-4100 0034-7426Mostovoy, Jacob and Munguía-Villanueva, Eréndira (2014) Spaces of morphisms from a projective space to a toric variety. Revista Colombiana de Matemáticas; Vol. 48, núm. 1 (2014); 41-53 2357-4100 0034-7426 .Spaces of morphisms from a projective space to a toric varietyArtículo 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/ARTVariedad tóricaespacios de morfismos tóricosTeorema de Stone-Weierstrassresolución simplicial58D1532Q55Toric varietyStone-Weierstrass TheoremSpaces of toric morphismssimplicial resolutionORIGINAL45194-216959-1-SM.pdfapplication/pdf458565https://repositorio.unal.edu.co/bitstream/unal/49347/1/45194-216959-1-SM.pdf0e6c506a7e8d6172f72a20460c3e8a55MD5145194-216971-1-PB.htmltext/html6996https://repositorio.unal.edu.co/bitstream/unal/49347/2/45194-216971-1-PB.html2dce28397e42f71e0e2a1005aff6b271MD52THUMBNAIL45194-216959-1-SM.pdf.jpg45194-216959-1-SM.pdf.jpgGenerated Thumbnailimage/jpeg5537https://repositorio.unal.edu.co/bitstream/unal/49347/3/45194-216959-1-SM.pdf.jpg4c3dbc0a0bb26160895368d8d52fd512MD53unal/49347oai:repositorio.unal.edu.co:unal/493472023-12-09 23:05:59.53Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co |
| dc.title.spa.fl_str_mv |
Spaces of morphisms from a projective space to a toric variety |
| title |
Spaces of morphisms from a projective space to a toric variety |
| spellingShingle |
Spaces of morphisms from a projective space to a toric variety Variedad tórica espacios de morfismos tóricos Teorema de Stone-Weierstrass resolución simplicial 58D15 32Q55 Toric variety Stone-Weierstrass Theorem Spaces of toric morphisms simplicial resolution |
| title_short |
Spaces of morphisms from a projective space to a toric variety |
| title_full |
Spaces of morphisms from a projective space to a toric variety |
| title_fullStr |
Spaces of morphisms from a projective space to a toric variety |
| title_full_unstemmed |
Spaces of morphisms from a projective space to a toric variety |
| title_sort |
Spaces of morphisms from a projective space to a toric variety |
| dc.creator.fl_str_mv |
Mostovoy, Jacob Munguía-Villanueva, Eréndira |
| dc.contributor.author.spa.fl_str_mv |
Mostovoy, Jacob Munguía-Villanueva, Eréndira |
| dc.subject.proposal.spa.fl_str_mv |
Variedad tórica espacios de morfismos tóricos Teorema de Stone-Weierstrass resolución simplicial 58D15 32Q55 Toric variety Stone-Weierstrass Theorem Spaces of toric morphisms simplicial resolution |
| topic |
Variedad tórica espacios de morfismos tóricos Teorema de Stone-Weierstrass resolución simplicial 58D15 32Q55 Toric variety Stone-Weierstrass Theorem Spaces of toric morphisms simplicial resolution |
| description |
In this note we study the space of morphisms from a complex projective space to a compact smooth toric variety X. It is shown that the first author's stability theorem for the spaces of rational maps from CPm to CPn extends to the spaces of continuous morphisms from CPm to X, essentially, with the same proof. In the case of curves, our result improves the known bounds for the stabilization dimension. |
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2014 |
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2014-06-25 |
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2019-06-29T08:36:58Z |
| dc.date.available.spa.fl_str_mv |
2019-06-29T08:36:58Z |
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Artículo de revista |
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http://purl.org/coar/resource_type/c_2df8fbb1 |
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info:eu-repo/semantics/article |
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Text |
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http://purl.org/redcol/resource_type/ART |
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publishedVersion |
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https://repositorio.unal.edu.co/handle/unal/49347 |
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http://bdigital.unal.edu.co/42804/ |
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https://repositorio.unal.edu.co/handle/unal/49347 http://bdigital.unal.edu.co/42804/ |
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spa |
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spa |
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http://revistas.unal.edu.co/index.php/recolma/article/view/45194 |
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Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas Revista Colombiana de Matemáticas |
| dc.relation.ispartofseries.none.fl_str_mv |
Revista Colombiana de Matemáticas; Vol. 48, núm. 1 (2014); 41-53 2357-4100 0034-7426 |
| dc.relation.references.spa.fl_str_mv |
Mostovoy, Jacob and Munguía-Villanueva, Eréndira (2014) Spaces of morphisms from a projective space to a toric variety. Revista Colombiana de Matemáticas; Vol. 48, núm. 1 (2014); 41-53 2357-4100 0034-7426 . |
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Derechos reservados - Universidad Nacional de Colombia |
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Atribución-NoComercial 4.0 Internacional |
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http://creativecommons.org/licenses/by-nc/4.0/ |
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info:eu-repo/semantics/openAccess |
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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 |
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Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas |
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