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curved kakeya problems 1Hausdorff dimension 1incidence geometry 1projective geometry of paths 1spray geometry 1

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math.CA2026

Curved Kakeya problems and the projective geometry of paths

Shaoming Guo, Larry Guth, Arian Nadjimzadah +2

The paper develops a general framework for curved Kakeya problems using spray geometry and the projective geometry of paths, characterizing when Wolff's hairbrush argument applies…