2024/06/29 by Alex Degtyarev, Degtyarev, Alex
Mathematics · #Algebraic Geometry and Number Theory #Mathematics and Applications #History and Theory of Mathematics
paper · pdf · doi:10.48550/arxiv.2407.00493
We prove that the maximal number of conics, a priori irreducible of reducible, on a smooth spatial quartic surface is 800, realized by a unique quartic. We also classify quartics with many (at least 720) conics. The maximal number of real conics on a real quartics is between 656 and 718.