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http://repositorio.ufla.br/jspui/handle/1/58846| Title: | On maximal and minimal hypersurfaces of Fermat type |
| Keywords: | Number theory Algebraic geometry |
| Issue Date: | 2023 |
| Publisher: | Cornel University |
| Citation: | OLIVEIRA, J. A. On maximal and minimal hypersurfaces of Fermat type. American Mathematical, [S.l], 2023. |
| Abstract: | Let Fq be a finite field with q = p n elements. In this paper, we study the number of Fq-rational points on the affine hypersurface X given by a1x d1 1 + · · · + asx ds s = b, where b ∈ F ∗ q . A classic well-konwn result from Weil yields a bound for such number of points. This paper presents necessary and sufficient conditions for the maximality and minimality of X with respect to Weil’s bound. |
| URI: | https://arxiv.org/abs/2110.07452 http://repositorio.ufla.br/jspui/handle/1/58846 |
| Appears in Collections: | DMM - Artigos publicados em periódicos |
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