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Revista Colombiana de Matemáticas
Print version ISSN 0034-7426
Abstract
MOSTOVOY, JACOB and MUNGUIA-VILLANUEVA, ERÉNDIRA. Spaces of Morphisms From a Projective Space to a Toric Variety. Rev.colomb.mat. [online]. 2014, vol.48, n.1, pp.41-53. ISSN 0034-7426. https://doi.org/10.15446/recolma.v48n1.45194.
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.
Keywords : Toric variety; Stone-Weierstrass Theorem; Spaces of toric morphisms; simplicial resolution.