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Furstenberg sets and Furstenberg schemes over finite fields

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Publication:318929
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DOI10.2140/ant.2016.10.1415zbMath1354.13033arXiv1502.03736OpenAlexW1732540911MaRDI QIDQ318929

Daniel Erman, Jordan S. Ellenberg

Publication date: 6 October 2016

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.03736


zbMATH Keywords

Furstenberg setsKakeya sets


Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Finite ground fields in algebraic geometry (14G15) Combinatorial structures in finite projective spaces (51E20)


Related Items (5)

Integrability of orthogonal projections, and applications to Furstenberg sets ⋮ Furstenberg sets in finite fields: explaining and improving the Ellenberg-Erman proof ⋮ Unnamed Item ⋮ A probabilistic approach to systems of parameters and Noether normalization ⋮ An improved bound on the packing dimension of Furstenberg sets in the plane






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