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This article is cited in 1 scientific paper (total in 1 paper)
Research Papers
Nonexistence of torically maximal hypersurfaces
E. Brugalléa, G. Mikhalkinb, J.-J. Rislerc, K. Shawd a École Polytechnique, Centre de Mathématiques, Laurent Schwartz, 91 128 Palaiseau Cedex, France
b Section de mathématiques, Université de Genève, Villa Battelle, 1227 Carouge, Suisse
c Université Pierre et Marie Curie, 4 Place Jussieu, 75 005 Paris, France
d Max Planck Institute for Mathematics in the Sciences, Inselstrasse 22, 04103 Leipzig, Germany
Abstract:
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.
Received: 30.01.2017
Citation:
E. Brugallé, G. Mikhalkin, J.-J. Risler, K. Shaw, “Nonexistence of torically maximal hypersurfaces”, Algebra i Analiz, 30:1 (2018), 20–31; St. Petersburg Math. J., 30:1 (2019), 15–23
Linking options:
https://www.mathnet.ru/eng/aa1570 https://www.mathnet.ru/eng/aa/v30/i1/p20
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