ABSTRACT

In this chapter we summarize information about the incidence relations between some A5-orbits of small length (those described in Theorem 7.3.5, and also the A5-orbits Σ20, Σ

′ 20, Σ30, and Σ

′ 30), some A5-irreducible curves

of low degree (those described in Theorem 13.6.1, and also the curves C20, L20, G10, and T15) and some A5-invariant surfaces of low degree contained in V5 (the singular surfaces S , S5, S10, S′10, and S15 of the pencil Q2, and the surface SCl). As in Table 13.1, by C18(0) we denote smooth rational A5-invariant curves of degree 18 (whose existence is not known to us; see Remark 13.6.2).