ABSTRACT

A configuration of eight points lying on a nodal cubic C3, one of them being the node, is not generic. Up to the action of D8, there are exactly eight possible combinatorial cubics C3; see Figure 6.1 where the successive cubics are denoted by (1±, 1)n, (1−, k)n for k = 8, . . . 2. Note that the encoding is consistent with the action of D8.