Laurent Determinants and Arrangements of Hyperplane Amoebas

2000/04/01 by Mikael Forsberg, Mikael Passare, August Tsikh · 16 citations
Mathematics · #Algebraic Geometry and Number Theory #Homotopy and Cohomology in Algebraic Topology

paper · doi:10.1006/aima.1999.1856

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• Contour Degree of Amoebas of Complete Intersections
• Complex tropical localization, coamoebas, and mirror tropical hypersurfaces
• Maximally Sparse Polynomials have Solid Amoebas
• Decomposition into pairs-of-pants for complex algebraic hypersurfaces
• Lagrangian Torus Fibrations and Mirror Symmetry of Calabi-Yau Manifolds
• The Lattice of Amoebas
• Enumerative tropical algebraic geometry in R2
• Geometry and a natural symplectic structure of phase tropical\n hypersurfaces
• Coamoebas of complex algebraic plane curves and the logarithmic Gauss map
• Geometric and Combinatorial Structure of Hypersurface Coamoebas
• Norms of Roots of Trinomials
• Discriminant and Singularities of Logarithmic Gauss Map, Examples and Application
• On the number of intersection points of the contour of an amoeba with a line
• Approximating amoebas and coamoebas by sums of squares
• Amoebas of algebraic varieties