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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 ()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