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arxiv: 1506.02813 · v2 · pith:HXRLBDNAnew · submitted 2015-06-09 · 🧮 math.AG · math.GT

Non-existence of torically maximal hypersurfaces

classification 🧮 math.AG math.GT
keywords curvesmaximaltoricallyhypersurfacesprojectiverealalgebraicdimensions
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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 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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