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Smoothness in pencils of hypersurfaces over finite fields

Algebraic Geometry 2022-03-15 v1 Number Theory

Abstract

We study pencils of hypersurfaces over finite fields Fq\mathbb{F}_q such that each of the q+1q+1 members defined over Fq\mathbb{F}_q is smooth.

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Cite

@article{arxiv.2203.07169,
  title  = {Smoothness in pencils of hypersurfaces over finite fields},
  author = {Shamil Asgarli and Dragos Ghioca},
  journal= {arXiv preprint arXiv:2203.07169},
  year   = {2022}
}

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9 pages