Geodesic
Nonexistence of torically maximal hypersurfaces
Algebra i analiz, Tome 30 (2018) no. 1, pp. 20-31

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Torically maximal curves (known also as simple Harnack curves) are real algebraic curves in the projective plane such that their logarithmic Gauss map is totally real. In this paper it is shown that the hyperplanes in projective spaces are the only torically maximal hypersurfaces of higher dimensions.
Keywords: simple harnack curves, real algebraic toric hypersurfaces. 
E. Brugallé; G. Mikhalkin; J.-J. Risler; K. Shaw. Nonexistence of torically maximal hypersurfaces. Algebra i analiz, Tome 30 (2018) no. 1, pp. 20-31. http://geodesic.mathdoc.fr/item/AA_2018_30_1_a1/
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