no. 6
Tritangents to smooth sextic curves
[Tritangentes à une courbe plane lisse de degré six]
Degtyarev, Alex1
1 Department of Mathematics Bilkent University 06800 Ankara (Turkey)
Annales de l'Institut Fourier, Tome 72 (2022) no. 6, pp. 2299-2338.

On montre qu’une courbe plane lisse de degré six a au plus 72 tritangentes, alors qu’une courbe lisse réelle de degré six a au plus 66 tritangentes réelles.

We 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.

Reçu le :
Révisé le :
Accepté le :
Publié le :
DOI : 10.5802/aif.3491
Classification : 14J28, 14H50, 14N20, 14N25
Keywords: $K3$-surface, sextic curve, tritangent, Niemeier lattice
Mot clés : Surface $K3$, courbe de degré six, tritangente, réseau de Niemeier
Degtyarev, Alex 1

1 Department of Mathematics Bilkent University 06800 Ankara (Turkey)
Licence : CC-BY-ND 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Degtyarev, Alex. Tritangents to smooth sextic curves. Annales de l'Institut Fourier, Tome 72 (2022) no. 6, pp. 2299-2338. doi : 10.5802/aif.3491. https://aif.centre-mersenne.org/articles/10.5802/aif.3491/

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