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Titlebook: Analysis Meets Geometry; The Mikael Passare M Mats Andersson,Jan Boman,Ragnar Sigurdsson Book 2017 Springer International Publishing AG 201

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978-3-319-84909-6Springer International Publishing AG 2017
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Manufacturing Innovation and Horizon 2020Noether say that such a representation is possible under certain conditions on the variety of the associated homogeneous ideal. We present some variants of these results, as well as generalizations to subvarieties of ℂ..
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https://doi.org/10.1007/978-981-15-6763-6ly proved as a special case of the optimal version of the Ohsawa–Takegoshi extension theorem. We present here a purely one-dimensional approach that should be suited to readers not interested in several complex variables.
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Peter Bühler,Patrick Schlaich,Dominik Sinnernected components of the coamoeba complement and critical points of the polynomial, an upper bound on the area of a planar coamoeba, and a recovered bound on the number of positive solutions of a fewnomial system.
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Multimedia Applications: Protocol MOT,se, of a result by Nisse, Sottile and the author. We also give topological and partly algebraical characterizations of the amoeba and coamoeba in some special cases: . = . 1, . = 1 and, when . is even, . = ./2, in the last case with a certain emphasis on the example . = 4.
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Mats Andersson,Jan Boman,Ragnar SigurdssonIntroduces the reader to the theory of functions of several complex variables.Explains geometric ideas.Presents papers on the border between analysis and geometry
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Amoebas and Coamoebas of Linear Spacesnsion, and we show that if a .-dimensional very affine linear space in (ℂ*). is generic, then the dimension of its (co)amoeba is equal to min{2., .}. Moreover, we prove that the volume of its coamoeba is equal to π.. In addition, if the space is generic and real, then the volume of its amoeba is equal to π./2..
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