Arcs in finite projective spaces
Simeon Ball
Universitat Politécnica de Catalunya, Barcelona, SpainMichel Lavrauw
Sabanci University, Istanbul, Turkey
![Arcs in finite projective spaces cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-emss-volume-6-issue-1.png&w=3840&q=90)
Abstract
This is an expository article detailing results concerning large arcs in finite projective spaces. It is not strictly a survey but attempts to cover the most relevant results on arcs, simplifying and unifying proofs of known old and more recent theorems. The article is mostly self-contained and includes a proof of the most general form of Segre’s lemma of tangents and a short proof of the MDS conjecture over prime fields based on this lemma.
Cite this article
Simeon Ball, Michel Lavrauw, Arcs in finite projective spaces. EMS Surv. Math. Sci. 6 (2019), no. 1/2, pp. 133–172
DOI 10.4171/EMSS/33