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Article Dans Une Revue Algebra i Analiz Année : 2018

Non-existence of torically maximal hypersurfaces

Résumé

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.

Dates et versions

hal-02175108 , version 1 (05-07-2019)

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Erwan Brugallé, Grigory Mikhalkin, Jean-Jacques Risler, Kristin Shaw. Non-existence of torically maximal hypersurfaces. Algebra i Analiz, 2018, 30 (1), pp.20-31. ⟨hal-02175108⟩
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