ABSTRACT

In this chapter we study combinatorics of A5-invariant curves in V5 of small degree that are unions of lines or conics (cf. Propositions 7.4.1 and 7.8.4).

In this section we study A5-invariant unions of lines on V5 (cf. Lemma 7.4.7). Note that in many cases the assertions of this section can be proved using Theorems 7.1.7 and 7.1.8 together with the well-known facts about the action of the group A5, like those that are listed in Theorem 6.1.2 (cf. Remark 7.4.8). Still we prefer to give proofs that involve more threedimensional geometry in most cases.