an:06643205
Zbl 1350.14037
Mostovoy, Jacob; Mungu??a-Villanueva, Er??ndira
Spaces of morphisms from a projective space to a toric variety
EN
Rev. Colomb. Mat. 48, No. 1, 41-53 (2014).
00359976
2014
j
14M25 58D15
toric variety; Stone-Weierstrass theorem; spaces of toric morphisms; simplicial resolution
Summary: 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 \(\mathbb{CP}^m\) to \(\mathbb{CP}^n\) extends to the spaces of continuous morphisms from \(\mathbb{CP}^m\) to \(X\), essentially, with the same proof. In the case of curves, our result improves the known bounds for the stabilization dimension.