Incidences of cubic curves in finite fields

DOI10.37236/12185arXiv2211.09465OpenAlexW4391258628WikidataQ129308730 ScholiaQ129308730MaRDI QIDQ6117423

Audie Warren

Publication date: 19 February 2024

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.09465

zbMATH Keywords

finite fieldcubic curveincidence upper bound

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Curves over finite and local fields (11G20) General theory of nonlinear incidence geometry (51B05)

Cites Work

• Point-curve incidences in the complex plane
• Extremal problems in discrete geometry
• Repeated angles in the plane and related problems
• A sum-product estimate in finite fields, and applications
• On incidence bounds with Möbius hyperbolae in positive characteristic
• A point-conic incidence bound and applications over \(\mathbb{F}_p\)
• On the Number of Incidences Between Points and Curves
• Cayley-Bacharach theorems and conjectures
• An improved point-line incidence bound over arbitrary fields
• On a problem of K. Zarankiewicz

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