Geodesic
On a Property of Real Plane Curves of Even Degree
Canadian mathematical bulletin, Tome 62 (2019) no. 1, pp. 179-182

Voir la notice de l'article provenant de la source Cambridge University Press

F. Cukierman asked whether or not for every smooth real plane curve $X\subset \mathbb{P}^{2}$ of even degree $d\geqslant 2$ there exists a real line $L\subset \mathbb{P}^{2}$ such $X\cap L$ has no real points. We show that the answer is yes if $d=2$ or 4 and no if $n\geqslant 6$.
DOI : 10.4153/CMB-2017-065-7
Mots-clés : real algebraic geometry, plane curve, maximizer function, bitangent 
Reichstein, Zinovy B. On a Property of Real Plane Curves of Even Degree. Canadian mathematical bulletin, Tome 62 (2019) no. 1, pp. 179-182. doi: 10.4153/CMB-2017-065-7
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