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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2007, Volume 259, Pages 20–38 (Mi tm567)  
This article is cited in 10 scientific papers (total in 10 papers)

Determinantal Singularities and Newton Polyhedra

A. I. Èsterov

Department of Mathematics, University of Toronto
Full-text PDF (312 kB) Citations (10)
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Abstract: Topological invariants of determinantal singularities are studied in terms of Newton polyhedra. The approach is based on the notion of a toric resolution of a determinantal singularity. Computations are carried out in the more general setting of “elimination theory in the context of Newton polyhedra.”
Received in August 2007
English version:
Proceedings of the Steklov Institute of Mathematics, 2007, Volume 259, Pages 16–34
DOI: https://doi.org/10.1134/S0081543807040037
Bibliographic databases:
UDC: 517.998
Language: English
Citation: A. I. Èsterov, “Determinantal Singularities and Newton Polyhedra”, Analysis and singularities. Part 2, Collected papers. Dedicated to academician Vladimir Igorevich Arnold on the occasion of his 70th birthday, Trudy Mat. Inst. Steklova, 259, Nauka, MAIK «Nauka/Inteperiodika», M., 2007, 20–38; Proc. Steklov Inst. Math., 259 (2007), 16–34
Citation in format AMSBIB
\Bibitem{Est07}
\by A.~I.~\`Esterov
\paper Determinantal Singularities and Newton Polyhedra
\inbook Analysis and singularities. Part~2
\bookinfo Collected papers. Dedicated to academician Vladimir Igorevich Arnold on the occasion of his 70th birthday
\serial Trudy Mat. Inst. Steklova
\yr 2007
\vol 259
\pages 20--38
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm567}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2433675}
\zmath{https://zbmath.org/?q=an:1201.14003}
\elib{https://elibrary.ru/item.asp?id=9572726}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2007
\vol 259
\pages 16--34
\crossref{https://doi.org/10.1134/S0081543807040037}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-38849147834}
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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