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Techniques for the study of singularities with applications to resolution of 2-dimensional schemes

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We give an overview of invariants of algebraic singularities over perfect fields. We then show how they lead to a synthetic proof of embedded resolution of singularities of 2-dimensional schemes.

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Authors and Affiliations

  1. Universidad Autónoma de Madrid and ICMAT-UAM, Ciudad Universitaria de Cantoblanco, 28049, Madrid, Spain

    Angélica Benito & Orlando E. Villamayor U.

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  1. Angélica Benito
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  2. Orlando E. Villamayor U.
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Correspondence to Angélica Benito.

Additional information

A. Benito and O. Villamayor are partially supported by MTM2009-07291.

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Benito, A., Villamayor U., O.E. Techniques for the study of singularities with applications to resolution of 2-dimensional schemes. Math. Ann. 353, 1037–1068 (2012). https://doi.org/10.1007/s00208-011-0709-5

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  • DOI: https://doi.org/10.1007/s00208-011-0709-5

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