The polynomial method over varieties
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Publication:2208425
DOI10.1007/s00222-020-00975-6zbMath1466.14063arXiv1811.07865OpenAlexW3032921562MaRDI QIDQ2208425
Publication date: 2 November 2020
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.07865
Real algebraic sets (14P05) Semialgebraic sets and related spaces (14P10) Erd?s problems and related topics of discrete geometry (52C10)
Related Items (4)
Joints of varieties ⋮ \(L^2\) bounds for a maximal directional Hilbert transform ⋮ Concentration estimates for algebraic intersections ⋮ Ill-distributed sets over global fields and exceptional sets in diophantine geometry
Cites Work
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- Bisector energy and few distinct distances
- Refined bounds on the number of connected components of sign conditions on a variety
- An incidence theorem in higher dimensions
- On the Erdős distinct distances problem in the plane
- The endpoint case of the Bennett-Carbery-Tao multilinear Kakeya conjecture
- Simple proofs of classical theorems in discrete geometry via the Guth-Katz polynomial partitioning technique
- Incidences with curves in \(\mathbb{R}^d\)
- Extremal problems in discrete geometry
- Combinatorial complexity bounds for arrangements of curves and spheres
- The early evolution of the \(H\)-free process
- The density of rational points on curves and surfaces. (With an appendix by J.-L. Colliot-Thélène).
- On counting point-hyperplane incidences
- How to find groups?
- Algebraic combinatorial geometry: the polynomial method in arithmetic combinatorics, incidence combinatorics, and number theory
- Multilevel polynomial partitions and simplified range searching
- Curves in \(\mathbb {R}^4\) and two-rich points
- A semi-algebraic version of Zarankiewicz's problem
- The number of integral points on arcs and ovals
- A restriction estimate using polynomial partitioning
- On a real analog of Bezout inequality and the number of connected components of sign conditions
- Incidence Theorems and Their Applications
- Unit Distances in Three Dimensions
- On the size of Kakeya sets in finite fields
- Une majoration de la fonction de Hilbert et ses conséquences pour l'interpolation algébrique
- On the Number of Incidences Between Points and Curves
- CHARACTERISTIC SUBSETS AND THE POLYNOMIAL METHOD
- Polynomial partitioning for a set of varieties
- An improved bound on the number of point-surface incidences in three dimensions
- On the Betti Numbers of Real Varieties
- On a problem of K. Zarankiewicz
- Polynomial partitioning on varieties of codimension two and point-hypersurface incidences in four dimensions
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