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: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2014 |
| País: | Colombia |
| Institución: | Universidad Nacional de Colombia |
| Repositorio: | Repositorio UN |
| Idioma: | español |
| 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/ |
| Access Level: | acceso abierto |
| 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 |
| Sumario: | 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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