ScalingStacks

Definition 4.3 . [0397]

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Definition 4.3.

[Mus13, p. 541] Choose λ∈ℝ≥0\lambda\in\mathbb{R}_{\geq 0}. Define the asymptotic test ideal of exponent λ\lambda as

τ⁡(𝔞∙λ):=⋃m∈ℕτ⁡(𝔞mλ/m).\tau({\mathfrak{a}}_{\bullet}^{\lambda}):=\bigcup_{m\in\mathbb{N}}\tau({\mathfrak{a}}_{m}^{\lambda/m}).

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