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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2012, Volume 279, Pages 59–71
(Mi tm3422)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/tm3422 https://www.mathnet.ru/eng/tm/v279/p59
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Abstract page: | 476 | Full-text PDF : | 154 | References: | 90 |
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