Linear families of smooth hypersurfaces over finitely generated fields

DOI10.1016/j.ffa.2023.102169OpenAlexW4319302498WikidataQ117378494 ScholiaQ117378494MaRDI QIDQ2689365

Dragos Ghioca, Zinovy Reichstein, Shamil Asgarli

Publication date: 10 March 2023

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.00918

zbMATH Keywords

linear systemfinite fieldshypersurfacesmoothness

Mathematics Subject Classification ID

Finite ground fields in algebraic geometry (14G15) Projective techniques in algebraic geometry (14N05) Hypersurfaces and algebraic geometry (14J70)

Related Items (1)

Existence of pencils with nonblocking hypersurfaces

Cites Work

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• The total reducibility order of a polynomial in two variables
• The number of reducible hypersurfaces in a pencil. -- Erratum
• Completely reducible hypersurfaces in a pencil
• A Bertini type theorem for pencils over finite fields
• Uniform Bound for the Number of Rational Points on a Pencil of Curves

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