论文标题
与自动形态的订单组54的立方体表面的时期
Periods of cubic surfaces with the automorphism group of order 54
论文作者
论文摘要
对于任何立方表面，可以将三次盖子在此立方表面分支的三重盖子给出三倍的三倍。 D. Allcock，J。Carlson和D. Toledo使用此结构来定义立方体表面的周期图。对于某些特定的立方表面计算此图很有趣。在本文中，我们在三次覆盖$ \ mathbb p^2 $中给出的情况下，我们对其进行了计算。在这种情况下，可以通过相应的椭圆曲线的周期表示周期。
To any cubic surface, one can associate a cubic threefold given by a triple cover of $\mathbb P^3$ branched in this cubic surface. D. Allcock, J. Carlson, and D. Toledo used this construction to define the period map for cubic surfaces. It is interesting to calculate this map for some specific cubic surfaces. In this paper, we have calculated it in the case when the cubic surface is given by a triple covering of $\mathbb P^2$ branched in a smooth elliptic curve. In this case, the periods can be expressed through periods of the corresponding elliptic curve.
