Phase tropical hypersurfaces

Gabriel Kerr; Ilia Zharkov

doi:10.2140/gt.2018.22.3287

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Home > Journals > Geom. Topol. > Volume 22 > Issue 6 > Article

2018 Phase tropical hypersurfaces

Gabriel Kerr, Ilia Zharkov

Geom. Topol. 22(6): 3287-3320 (2018). DOI: 10.2140/gt.2018.22.3287

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Abstract

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