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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.

##### MSC:
 14M25 Toric varieties, Newton polyhedra, Okounkov bodies 58D15 Manifolds of mappings
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