The real locus Λ σ A C * -action on CP 4 defined by

Contexts in source publication

Context 1

... these points are real for the real structure (X 2 , X 3 , X 4 ) −→ (X 2 , X 3 , X 4 ) induced from σ if and only if the real numbers a, b and c have the same sign; namely iff the inequalities γ > α > β or γ < α < β (2.6) hold. Under these inequalities, if we think of these four points as those on the circle Λ σ ≃ S 1 , the point λ i is adjacent to λ i+1 where the indices are counted modulo 4. (See Figure 1.) As above, each of the four fibers f −1 (λ i ) ⊂ S consists of two lines. ...

Context 2

... denote I 1 := (λ 1 , λ 2 ) and I 2 := (λ 3 , λ 4 ) for the open intervals in the circle Λ σ . (See Figure 1.) We denote S σ 1 and S σ 2 for the connected components of S σ , which are 2-spheres lying over the the closures of I 1 and I 2 in Λ σ respectively. ...

Context 3

... name J 2 (p), J 3 (p), J 4 (p) and J 5 (p) for these intervals, where we put the indices in such a way that J i (p) is adjacent to J i+1 (p) where J 6 (p) means J 1 (p), and that one of the two ends of J 2 (p) is the point H 1 (p). (See Figure 1, where the ends of all the intervals are concretely pinned down. They are determined in the sequel.) ...

Context 4

... p = q = p ′ , we understand the condition as that the branch of C u specified by p ′ is tangent to C at p. Under this kind of interpretation, even when {p, q} ∩ {p ′ , q ′′ } } = ∅, we can define C C p,q as in (4.14). In any case, o ∈ C C p,q . ...