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arXiv · 2407.00493

Conics on smooth quartic surfaces

Alex Degtyarev
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Abstract

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.

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Alex Degtyarev. 2024-06-29. Conics on smooth quartic surfaces. https://arxiv.org/abs/2407.00493

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