Non-existence of torically maximal hypersurfaces
Algebraic Geometry
2017-01-17 v2 Geometric Topology
Abstract
Torically maximal curves (known also as simple Harnack curves) are real algebraic curves in the projective plane such that their logarithmic Gau{\ss} map is totally real. In this paper we show that hyperplanes in projective spaces are the only torically maximal hypersurfaces of higher dimensions.
Keywords
Cite
@article{arxiv.1506.02813,
title = {Non-existence of torically maximal hypersurfaces},
author = {Erwan Brugallé and Grigory Mikhalkin and Jean-Jacques Risler and Kristin Shaw},
journal= {arXiv preprint arXiv:1506.02813},
year = {2017}
}
Comments
10 pages. V2 merges the first version of this paper with the first version of arXiv:1510.00267