Degtyarev, Alex2023-03-022023-03-022022-10-2103730956http://hdl.handle.net/11693/112029We prove that a smooth plane sextic curve can have at most 72 tritangents, whereas a smooth real sextic may have at most 66 real tritangents. © 2022 Association des Annales de l'Institut Fourier. All rights reserved.EnglishK3-surfaceNiemeier latticeSextic curveTritangentArticle10.5802/aif.3491