Phase tropical hypersurfaces

Abstract

We prove that a generic smooth complex hypersurface in the complex torus is homeomorphic to the corresponding phase tropical hypersurface.

30 pages, 12 figures

References in corpus (3)

• Patchworking real algebraic varieties
• Geometry and a natural symplectic structure of phase tropical hypersurfaces
• Geometric Monodromy around the Tropical Limit

Cited by in corpus (6)

• Lagrangian pairs of pants
• Lagrangian submanifolds from tropical hypersurfaces
• Lagrangian Skeleta of Hypersurfaces in $({\mathbb{C}}^{\ast }{)}^n$
• On 2d-4d motivic wall-crossing formulas
• The isotopy problem for the phase tropical line
• Complex conjugation and simplicial algebraic hypersurfaces