800 conics on a smooth quartic surface
نویسندگان
چکیده
We construct an example of a smooth spatial quartic surface that contains 800 irreducible conics.
منابع مشابه
Smooth quartic surfaces with 352 conics
Up to now the maximal number of smooth conics, that can lie on a smooth quartic surface, seems not to be known. So our number 352 should be compared with 64, the maximal number of lines that can lie on a smooth quartic [S]. We construct the surfaces as Kummer surfaces of abelian surfaces with a polarization of type (1, 9). Using Saint-Donat’s technique [D] we show that they embed in IP3. In thi...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 2022
ISSN: ['1873-1376', '0022-4049']
DOI: https://doi.org/10.1016/j.jpaa.2022.107077