ScalingStacks

Lemma 5.2 . [04T6]

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Lemma 5.2.

If V⊂(K∗)n+1V\subset(K^{*})^{n+1} is a hypersurface given by a polynomial f=∑aj​zjf=\sum a_{j}z^{j}, aj∈K∗a_{j}\in K^{*} then W⁡(VK)⊂(ℂ∗)n+1W(V_{K})\subset(\mathbb{C}^{*})^{n+1} depends only on the values w⁡(aj)∈ℂ∗w(a_{j})\in\mathbb{C}^{*} of the coefficients.

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