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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2012, Volume 279, Pages 59–71 (Mi tm3422)  
This article is cited in 8 scientific papers (total in 8 papers)

On amoebas of algebraic sets of higher codimension

N. A. Bushueva, A. K. Tsikh

Institute of Mathematics, Siberian Federal University, Krasnoyarsk, Russia
Full-text PDF (1352 kB) Citations (8)
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Abstract: The amoeba of a complex algebraic set is its image under the projection onto the real subspace in the logarithmic scale. We study the homological properties of the complements of amoebas for sets of codimension higher than 1. In particular, we refine A. Henriques' result saying that the complement of the amoeba of a codimension $k$ set is $(k-1)$-convex. We also describe the relationship between the critical points of the logarithmic projection and the logarithmic Gauss map of algebraic sets.
Received in April 2012
English version:
Proceedings of the Steklov Institute of Mathematics, 2012, Volume 279, Pages 52–63
DOI: https://doi.org/10.1134/S0081543812080056
Bibliographic databases:
Document Type: Article
UDC: 512.77+517.55
Language: Russian
Citation: N. A. Bushueva, A. K. Tsikh, “On amoebas of algebraic sets of higher codimension”, Analytic and geometric issues of complex analysis, Collected papers, Trudy Mat. Inst. Steklova, 279, MAIK Nauka/Interperiodica, Moscow, 2012, 59–71; Proc. Steklov Inst. Math., 279 (2012), 52–63
Citation in format AMSBIB
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\by N.~A.~Bushueva, A.~K.~Tsikh
\paper On amoebas of algebraic sets of higher codimension
\inbook Analytic and geometric issues of complex analysis
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2012
\vol 279
\pages 59--71
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm3422}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3086757}
\elib{https://elibrary.ru/item.asp?id=18447434}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2012
\vol 279
\pages 52--63
\crossref{https://doi.org/10.1134/S0081543812080056}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000314063000005}
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    • This publication is cited in the following 8 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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