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Arc spaces and wedge spaces for toric varieties

Arc spaces and wedge spaces for toric varieties

Let X be a normal toric variety over a perfect field k and let X ∞ be its space of arcs. Let P be a toric stable point of X ∞ , i.e. defined by a toric divisorial valuation ν. We describe the irreducible components of Spec𝒪 X ∞ ,P …