Phase tropical hypersurfaces

Kerr, Gabriel; Zharkov, Ilia

doi:10.2140/gt.2018.22.3287

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Phase tropical hypersurfaces

Gabriel Kerr and Ilia Zharkov

Geometry & Topology 22 (2018) 3287–3320

DOI: 10.2140/gt.2018.22.3287

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.

Keywords

phase tropical, hypersurface, tropical geometry

Mathematical Subject Classification 2010

Primary: 14T05

Secondary: 14J33

References

Publication

Received: 19 October 2016

Revised: 9 February 2018

Accepted: 13 March 2018

Published: 23 September 2018

Proposed: Dan Abramovich

Seconded: Richard Thomas, Jim Bryan

Authors

Gabriel Kerr
Department of Mathematics Kansas State University Manhattan, KS United States

Ilia Zharkov
Mathematics Department Kansas State University Manhattan, KS United States

Volume 22, issue 6 (2018)