Lines in supersingular quartics
キーワード:
𝐾3-surface,
supersingular surface,
quartic,
elliptic pencil,
integral lattice,
discriminant form
2022 年 74 巻 3 号 p. 973-1019
詳細
2022 年 74 巻 3 号 p. 973-1019
We show that the number of lines contained in a supersingular quartic surface is 40 or at most 32, if the characteristic of the field equals 2, and it is 112, 58, or at most 52, if the characteristic equals 3. If the quartic is not supersingular, the number of lines is at most 60 in both cases. We also give a complete classification of large configurations of lines.
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Nippon Sugaku-Buturigakkwai Kizi Dai 3 Ki
Tokyo Sugaku-Buturigakkwai Kizi Dai 2 Ki
Tokyo Sugaku-Butsurigakukwai Kiji-Gaiyo
Tokyo Sugaku-Butsurigakkwai Hokoku
