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
| Summary: | 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. |
|---|