research-article

Maximum number of points on an intersection of a cubic threefold and a non-degenerate Hermitian threefold

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Subrata MannaAuthors Info & Claims

Volume 98, Issue C

https://doi.org/10.1016/j.ffa.2024.102462

Published: 18 October 2024 Publication History

Abstract

It was conjectured by Edoukou in 2008 that a non-degenerate Hermitian threefold in P 4 ( F q 2 ) has at most d ( q 5 + q 2 ) + q 3 + 1 points in common with a threefold of degree d defined over F q 2. He proved the conjecture for d = 2. In this paper, we show that the conjecture is true for d = 3 and q ≥ 7.

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Maximum number of points on an intersection of a cubic threefold and a non-degenerate Hermitian threefold
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cover image Finite Fields and Their Applications

Finite Fields and Their Applications Volume 98, Issue C

Sep 2024

349 pages

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Elsevier Inc.

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Elsevier Science Publishers B. V.

Netherlands

Publication History

Published: 18 October 2024

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