#### Volume 22, issue 6 (2018)

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Phase tropical hypersurfaces

### Gabriel Kerr and Ilia Zharkov

Geometry & Topology 22 (2018) 3287–3320
##### Abstract

We prove a conjecture of Viro (Tr. Mat. Inst. Steklova 273 (2011) 271–303) that a smooth complex hypersurface in ${\left({ℂ}^{\ast }\right)}^{n}$ is homeomorphic to the corresponding phase tropical hypersurface.

##### Keywords
phase tropical, hypersurface, tropical geometry
Primary: 14T05
Secondary: 14J33