Timur Sadykov: Amoeba-shaped polyhedral complex of an algebraic hypersurface
Time: Wed 2018-02-07 13.00
Location: Room 16, building 5, Kräftriket, Department of Mathematics, Stockholm University
Participating: Timur Sadykov from the Russian Economical University
Given a complex algebraic hypersurface~$H$, we introduce a polyhedral complex which is a subset of the Newton polytope of the
defining polynomial for~$H$ and enjoys the key topological and combinatorial properties of the amoeba of~$H.$ We provide an explicit formula for this polyhedral complex in the case when the spine of the amoeba is dual to a triangulation of the Newton polytope of the defining polynomial. In particular, this yields a description of the polyhedral complex when the hypersurface is optimal in the sense of Forsberg-Passare Tsikh.
This is a joint work with Mounir Nisse.