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arxiv: 1411.4452 · v3 · pith:HQNYXNHMnew · submitted 2014-11-17 · 🧮 math.AG

A strictly decreasing invariant for resolution of singularities in dimension two

classification 🧮 math.AG
keywords invariantresolutionsingularitiesstrictlyalgorithmboundaryconstructcossart
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We construct a local invariant for resolution of singularities of 2-dimensional excellent Noetherian schemes with boundary. We prove that the invariant strictly decreases at every step of the algorithm of Cossart, Jannsen and Saito.

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