论文标题

计算光滑立方体表面的线

Computing the lines of a smooth cubic surface

论文作者

Movasati, Hossein

论文摘要

我们给出了$ 27 $的平滑立方表面表面的明确公式。我们的公式涉及与系数的收敛功率序列,以扩展有理数的统一根。我们的主要工具是Socle的Artinian Gorenstein环,两个附在此类线上。

We give an explicit formula for the $27$ lines of a smooth cubic surface near the Fermat surface. Our formula involves convergent power series with coefficients in the extension of rational numbers with the sixth root of unity. Our main tool is the Artinian Gorenstein ring of socle two attached to such lines.

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