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Newton polyhedra (resolution of singularities)

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Abstract

Some results are presented on the resolution of singularities and compactification of an algebraic manifold determined by a system of algebraic equations with fixed Newton polyhedra and rather general coefficients. Resolution and compactification are carried out by means of smooth toric manifolds which are described in the first half of the survey.

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Authors
  1. A. G. Khovanskii
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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennye Problemy Matematiki, Vol. 22, pp. 207–239, 1983.

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Khovanskii, A.G. Newton polyhedra (resolution of singularities). J Math Sci 27, 2811–2830 (1984). https://doi.org/10.1007/BF01084822

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