SMOOTHNESS IN PENCILS OF HYPERSURFACES OVER FINITE FIELDS-Reference-Cited by-同舟云学术

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SMOOTHNESS IN PENCILS OF HYPERSURFACES OVER FINITE FIELDS

Published:2022-08-25 Issue:1 Volume:107 Page:85-94
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Aust. Math. Soc.

Author:

ASGARLI SHAMIL^ORCID,GHIOCA DRAGOS^ORCID

Abstract

AbstractWe study pencils of hypersurfaces over finite fields

$\mathbb {F}_q$

such that each of the

$q+1$

members defined over

$\mathbb {F}_q$

is smooth.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference7 articles.

1. Number of Points of Varieties in Finite Fields

2. Improved explicit estimates on the number of solutions of equations over a finite field

3. Effective Noether Irreducibility Forms and Applications

4. A Bertini type theorem for pencils over finite fields

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Existence of pencils with nonblocking hypersurfaces;Finite Fields and Their Applications;2023-12

2. Plane curves giving rise to blocking sets over finite fields;Designs, Codes and Cryptography;2023-06-23

3. TANGENT-FILLING PLANE CURVES OVER FINITE FIELDS;Bulletin of the Australian Mathematical Society;2023-05-02

4. Linear families of smooth hypersurfaces over finitely generated fields;Finite Fields and Their Applications;2023-03

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