论文标题
圆锥，线和点的智利配置
Chilean configuration of conics, lines and points
论文作者
论文摘要
使用理性椭圆纤维的理论，我们构建并讨论了一个$ 12 $锥形的配置的一个参数家族，在投射平面中实现了抽象配置$（12_6,9_8）$中的射击平面中的$ 9 $点。这类似于$ 12 $行的著名黑森配置，$ 9 $点构成抽象配置$（12_3,9_4）$。我们还表明，索引$ 2 $的任何Halphen椭圆纤维纤维均具有四个三角形奇异纤维。
Using the theory of rational elliptic fibrations, we construct and discuss a one parameter family of configurations of $12$ conics and $9$ points in the projective plane that realizes an abstract configuration $(12_6,9_8)$. This is analogous to the famous Hesse configuration of $12$ lines and $9$ points forming an abstract configuration $(12_3,9_4)$. We also show that any Halphen elliptic fibration of index $2$ with four triangular singular fibers arises from such configuration of conics.
