Algebraic curves, rich points, and doubly-ruled surfaces

DOI10.1353/ajm.2018.0028zbMath1403.51002arXiv1503.02173OpenAlexW2962904443WikidataQ129232025 ScholiaQ129232025MaRDI QIDQ4962226

Joshua Zahl, Lawrence Guth

Publication date: 30 October 2018

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.02173

zbMATH Keywords

complete intersectionintersection multiplicityconstructible setChow varietyflecnode polynomial

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Parametrization (Chow and Hilbert schemes) (14C05) Erd?s problems and related topics of discrete geometry (52C10) Incidence structures embeddable into projective geometries (51A45)

Related Items (8)

Sphere tangencies, line incidences and Lie’s line-sphere correspondence ⋮ Curves in \(\mathbb {R}^4\) and two-rich points ⋮ Surfaces containing two circles through each point ⋮ Concentration estimates for algebraic intersections ⋮ Incidences with curves in \(\mathbb{R}^d\) ⋮ The geometry of the flex locus of a hypersurface ⋮ Incidences between points and curves with almost two degrees of freedom ⋮ Distinct distances in the complex plane

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