zbMATH — the first resource for mathematics

Spaces of morphisms from a projective space to a toric variety. (English) Zbl 1350.14037
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.

14M25 Toric varieties, Newton polyhedra, Okounkov bodies
58D15 Manifolds of mappings
Full Text: DOI Link