On amoebas of algebraic sets of higher codimension

DOI10.1134/S0081543812080056zbMath1312.14135OpenAlexW2041600451MaRDI QIDQ461034

N. A. Bushueva, August Tsikh

Publication date: 9 October 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543812080056

zbMATH Keywords

complete intersectionamoebaslogarithmic Gauss map

Mathematics Subject Classification ID

Complete intersections (14M10) Topology of real algebraic varieties (14P25) Analytic spaces (32C99)

Related Items (max. 100)

Higher convexity for complements of tropical varieties ⋮ Amoebas of Cuspidal Strata for Classical Discriminant ⋮ Higher convexity of coamoeba complements ⋮ Unnamed Item ⋮ Convexity of complements of tropical varieties, and approximations of currents ⋮ Zeros and amoebas of partition functions

Cites Work

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• A characterization of A-discriminantal hypersurfaces in terms of logarithmic Gauss map
• Real algebraic curves, the moment map and amoebas
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• Applications of an isotopy theorem
• The Lefschetz theorem on hyperplane sections
• Non-archimedean amoebas and tropical varieties
• Multidimensional versions of Poincaré's theorem for difference equations
• An analogue of convexity for complements of amoebas of varieties of higher codimension, an answer to a question asked by B. Sturmfels
• Computing Amoebas
• Le calcul différentiel et intégral sur une variété analytique complexe. (Problème de Cauchy. III.)

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