We determine the maximum number of Fq-rational points that a nonsingular threefold of degree d in a projective space of dimension 4 defined over Fq may contain. This settles a conjecture by Homma and Kim concerning the maximum number of points on a hypersurface in a projective space of even dimension in this particular case. © 2019 Elsevier Inc.

Mrinmoy Datta

Department of Mathematics

Indian Institute of Technology Hyderabad (IITH) is a premier institute of science and technology established in 2008. IITH has been consistently ranked in the&nbsp;<a href="https://iith.ac.in/reports/" rel="noopener noreferrer">top 10 institutes</a>&nbsp;in India for Engineering&nbsp;<a href="https://www.nirfindia.org/2021/EngineeringRanking.html" rel="noopener noreferrer" target="_blank">according to NIRF</a>&nbsp;making it one of the most coveted schools for science and technology in the country.

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Journal	Finite Fields and their Applications
Publisher	Academic Press Inc.
ISSN	10715797