Generalized logarithmic Gauss map and its relation to (co)amoebas |
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| Authors: | Farid Madani Mounir Nisse |
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| Institution: | 1. Fakult?t für Mathematik, Universit?t Regensburg, , 93040 Regensburg, Germany;2. Department of Mathematics, Texas A&M University, , College Station, TX, 77843‐3368 USA |
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| Abstract: | We define the generalized logarithmic Gauss map for algebraic varieties of the complex algebraic torus of any codimension. Moreover, we describe the set of critical points of the logarithmic mapping restricted to our variety, and we show an analogous of Mikhalkin's result on the critical points of the logarithmic map restricted to a hypersurface. |
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| Keywords: | Logarithmic Gauss map amoebas coamoebas critical values 14T05 32A60 |
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