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arXiv · 1506.02813

Non-existence of torically maximal hypersurfaces

Erwan Brugallé·Grigory Mikhalkin·Jean-Jacques Risler·Kristin Shaw
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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.

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Erwan Brugallé, Grigory Mikhalkin, Jean-Jacques Risler, Kristin Shaw. 2015-06-09. Non-existence of torically maximal hypersurfaces. https://arxiv.org/abs/1506.02813

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