Sylvester-Gallai type theorems for quadratic polynomials

DOI10.19086/da.14492zbMath1456.68039arXiv1904.06245OpenAlexW3163994581MaRDI QIDQ5126776

Amir Shpilka

Publication date: 20 October 2020

Published in: discrete Analysis, Proceedings of the 51st Annual ACM SIGACT Symposium on Theory of Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.06245

zbMATH Keywords

combinatoricsquadratic polynomialsarithmetic circuitspolynomial identity testingSylvester-Gallai theorem

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Erd?s problems and related topics of discrete geometry (52C10) Randomized algorithms (68W20) Networks and circuits as models of computation; circuit complexity (68Q06)

Related Items (5)

On a conjecture of Kelly on (1, 3)-representation of Sylvester-Gallai designs ⋮ A generalized Sylvester–Gallai-type theorem for quadratic polynomials ⋮ Spanoids---An Abstraction of Spanning Structures, and a Barrier for LCCs ⋮ Spanoids - An Abstraction of Spanning Structures, and a Barrier for LCCs ⋮ A generalized sylvester-gallai type theorem for quadratic polynomials

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