http://dx.doi.org/10.15446/recolma.v48n1.45194
1CINVESTAV-IPN, México, D.F., México. Email: jacob@math.cinvestav.mx
2Institut de Mathématiques de Jussieu, Paris, France. Email: erendira.munguia@gmail.com ]]>
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.
Key words: Toric variety, Stone-Weierstrass Theorem, Spaces of toric morphisms, simplicial resolution.
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.
Palabras clave: Variedad tórica, espacios de morfismos tóricos, Teorema de Stone-Weierstrass, resolución simplicial.
Texto completo disponible en PDF
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Este artículo se puede citar en LaTeX utilizando la siguiente referencia bibliográfica de BibTeX:
@ARTICLE{RCMv48n1a03,
AUTHOR = {Mostovoy, Jacob and Munguía-Villanueva, Eréndira},
TITLE = {{Spaces of Morphisms From a Projective Space to a Toric Variety}},
JOURNAL = {Revista Colombiana de Matemáticas},
YEAR = {2014},
volume = {48}, ]]>
number = {1},
pages = {41--53}
}