SMOOTHNESS IN PENCILS OF HYPERSURFACES OVER FINITE FIELDS

DOI10.1017/S0004972722000776zbMath1506.14108arXiv2203.07169OpenAlexW4293223373MaRDI QIDQ5879215

Shamil Asgarli, Dragos Ghioca

Publication date: 28 February 2023

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.07169

zbMATH Keywords

finite fieldssmoothnesspencils of hypersurfaces

Mathematics Subject Classification ID

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

Related Items (3)

Plane curves giving rise to blocking sets over finite fields ⋮ Existence of pencils with nonblocking hypersurfaces ⋮ TANGENT-FILLING PLANE CURVES OVER FINITE FIELDS

Uses Software

• Book3264Examples

Cites Work

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• Effective Noether irreducibility forms and applications
• Improved explicit estimates on the number of solutions of equations over a finite field
• A Bertini type theorem for pencils over finite fields
• 3264 and All That
• Monodromy of Hyperplane Sections of Curves and Decomposition Statistics over Finite Fields
• Number of Points of Varieties in Finite Fields

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