ABSTRACT

In Chapter 8, we studied linear subsystems of the linear system |2H| on V5 and described in detail the geometry of its A5-invariant members. The main purpose of this chapter is to study the unique A5-invariant surface in the linear systems |3H|. We also make some remarks about one particular A5invariant surface in |4H| that appears in the construction of one of the Sarkisov links found in Chapter 11.