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.
Citation:
A. G. Khovanskii, “Newton polyhedra (resolution of singularities)”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat., 22, VINITI, Moscow, 1983, 207–239; J. Soviet Math., 27:3 (1984), 2811–2830
\Bibitem{Kho83}
\by A.~G.~Khovanskii
\paper Newton polyhedra (resolution of singularities)
\serial Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat.
\yr 1983
\vol 22
\pages 207--239
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/intd66}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=735444}
\zmath{https://zbmath.org/?q=an:0544.14006}
\transl
\jour J. Soviet Math.
\yr 1984
\vol 27
\issue 3
\pages 2811--2830
\crossref{https://doi.org/10.1007/BF01084822}
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https://www.mathnet.ru/eng/intd66
https://www.mathnet.ru/eng/intd/v22/p207
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