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Variants of the Kakeya problem over an algebraically closed field

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Publication:466782
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DOI10.1007/S00013-014-0685-6zbMath1307.14084arXiv1410.4328OpenAlexW3104500276MaRDI QIDQ466782

Kaloyan Slavov

Publication date: 31 October 2014

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.4328


zbMATH Keywords

Fano varietyintersection multiplicityconstructible setKakeya problemBezout's theoremflexy surfacefunny curveprojective cone


Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Classification of affine varieties (14R05) Projective techniques in algebraic geometry (14N05) Classical problems, Schubert calculus (14N15) Configurations and arrangements of linear subspaces (14N20)


Related Items (1)

An algebraic geometry version of the Kakeya problem




Cites Work

  • An improved lower bound on the size of Kakeya sets over finite fields
  • An algebraic geometry version of the Kakeya problem
  • Varieties with many lines
  • An improved bound for Kakeya type maximal functions
  • On the size of Kakeya sets in finite fields
  • KAKEYA SETS OVER NON‐ARCHIMEDEAN LOCAL RINGS




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