Strong resolution of singularities in characteristic zero

Abstract.

We present a concise proof for the existence and construction of a strong resolution of excellent schemes of finite type over a field of characteristic zero. Our proof is based on earlier work of Villamayor, Encinas-Villamayor and Bierstone-Milman. It proposes some substantial simplifications which may be helpful for a better understanding of how to prove Hironaka's famous theorem on embedded resolution of singularities.

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Authors and Affiliations

1. Universidad de Valladolid, E-47014 Spain sencinas@maf.uva.es , , , , , , ES

   S. Encinas

2. Universität Innsbruck, A-6020 Austria, herwig.hauser@uibk.ac.at , , , , , , AT

   H. Hauser

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1. S. Encinas
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2. H. Hauser
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Received: April 30, 2002

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Encinas, S., Hauser, H. Strong resolution of singularities in characteristic zero. Comment. Math. Helv. 77, 821–845 (2002). https://doi.org/10.1007/PL00012443

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• Issue Date: November 2002

• DOI: https://doi.org/10.1007/PL00012443

• Keywords. Resolution of singularities.