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 CP^m to CPⁿ extends to the spaces of continuous morphisms from CP^m 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.

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