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Proof in the Case \(e_x(X)=\overline {e}_x(X)=2\) , II: Separable Residue Extensions

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Desingularization: Invariants and Strategy

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2270))

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Abstract

In this chapter we prove Theorem 13.7 below, which implies Key Theorem 6.40 under the assumption that the residue fields of the initial points of \(\mathcal {X}_n\) are separably algebraic over that of \(\mathcal {X}_1\). The proof is divided into two steps.

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Cossart, V., Jannsen, U., Saito, S. (2020). Proof in the Case \(e_x(X)=\overline {e}_x(X)=2\) , II: Separable Residue Extensions. In: Desingularization: Invariants and Strategy. Lecture Notes in Mathematics, vol 2270. Springer, Cham. https://doi.org/10.1007/978-3-030-52640-5_13

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