Existence of pencils with nonblocking hypersurfaces

DOI10.1016/j.ffa.2023.102283zbMath1525.14066arXiv2301.09215OpenAlexW4386179316MaRDI QIDQ6063241

Shamil Asgarli, Chi Hoi Yip, Dragos Ghioca

Publication date: 7 November 2023

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

Full work available at URL: https://arxiv.org/abs/2301.09215

zbMATH Keywords

finite fieldblocking setpencil of hypersurfaces

Mathematics Subject Classification ID

Blocking sets, ovals, (k)-arcs (51E21) Finite ground fields in algebraic geometry (14G15) Projective techniques in algebraic geometry (14N05) Hypersurfaces and algebraic geometry (14J70) Pencils, nets, webs in algebraic geometry (14C21)

Cites Work

• Bertini theorems over finite fields
• A Bertini type theorem for pencils over finite fields
• Linear families of smooth hypersurfaces over finitely generated fields
• Blocking Sets in Finite Projective Planes
• Number of Points of Varieties in Finite Fields
• SMOOTHNESS IN PENCILS OF HYPERSURFACES OVER FINITE FIELDS
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Existence of pencils with nonblocking hypersurfaces