Abstract
This is an exposition of Lipman’s beautiful proof [9] of resolution of singularities for two-dimensional schemes. His proof is very conceptual, and therefore works for arbitrary excellent schemes, for instance arithmetic surfaces, with relatively little extra work. (See [4, Chap. IV] for the definition of excellent scheme.)
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Artin, M. (1986). Lipman’s Proof of Resolution of Singularities for Surfaces. In: Cornell, G., Silverman, J.H. (eds) Arithmetic Geometry. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8655-1_11
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