Non-existence of hypersurfaces with real fibered logarithmic Gauss map
Kristin Shaw
TL;DR
This paper investigates the non-existence of certain hypersurfaces with specific geometric properties related to the logarithmic Gauss map, contributing to the understanding of hypersurface classification.
Contribution
It proves the non-existence of hypersurfaces with real fibered logarithmic Gauss maps, clarifying limitations in hypersurface configurations.
Findings
Hypersurfaces with real fibered logarithmic Gauss maps do not exist.
The result impacts the classification of hypersurfaces in algebraic geometry.
The paper refines understanding of geometric constraints on hypersurfaces.
Abstract
This submission has been withdrawn and replaced with the paper "Non-existence of torically maximal hypersurfaces" arXiv:1506.02813.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometric Analysis and Curvature Flows · Geometric and Algebraic Topology