Incidences between points and lines in \({\mathbb {R}}^4\)
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Publication:527445
DOI10.1007/s00454-016-9822-2zbMath1365.51002arXiv1411.0777OpenAlexW2522835457MaRDI QIDQ527445
Publication date: 11 May 2017
Published in: Discrete \& Computational Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1411.0777
Related Items
Incidences with Curves in ℝ d, Configurations of lines in space and combinatorial rigidity, Concentration estimates for algebraic intersections, Incidences between points and lines on two- and three-dimensional varieties, Polynomials with dense zero sets and discrete models of the Kakeya conjecture and the Furstenberg set problem, Homotheties and incidences, A general incidence bound in \(\mathbb{R}^d\), A discretized Severi-type theorem with applications to harmonic analysis
Cites Work
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- On the number of rich lines in high dimensional real vector spaces
- An incidence theorem in higher dimensions
- Szemerédi-Trotter-type theorems in dimension 3
- On the Erdős distinct distances problem in the plane
- Highly incidental patterns on a quadratic hypersurface in \(\mathbb{R}^4\)
- On lines and joints
- Simple proofs of classical theorems in discrete geometry via the Guth-Katz polynomial partitioning technique
- A Szemerédi-Trotter type theorem in \(\mathbb R^4\)
- Extremal problems in discrete geometry
- Combinatorial complexity bounds for arrangements of curves and spheres
- Varieties with many lines
- Incidences between points and lines on two- and three-dimensional varieties
- Algebraic methods in discrete analogs of the Kakeya problem
- On lines, joints, and incidences in three dimensions
- Unit Distances in Three Dimensions
- On the size of Kakeya sets in finite fields
- The Joints Problem in $\mathbb{R}^n$
- Is a linear space contained in a submanifold? -- On the number of derivatives needed to tell
- Crossing Numbers and Hard Erdős Problems in Discrete Geometry
- Incidences between points and lines in R4
- Using Algebraic Geometry
- Improved bounds for incidences between points and circles
- Incidences between points and lines in three dimensions
- On the number of rich lines in truly high dimensional sets
- The flecnode polynomial: a central object in incidence geometry
- An improved bound on the number of point-surface incidences in three dimensions
- Lower Bounds for Approximation by Nonlinear Manifolds
- On threefolds covered by lines
- Polynomial partitioning on varieties of codimension two and point-hypersurface incidences in four dimensions
