ABSTRACT
In this chapter we describe all A5-invariant Halphen pencils on V5 (see Definition 3.4.1). The same method gives a complete classification of A5rational maps from V5 whose general fiber is an elliptic curve. Furthermore, we describe all A5-birational maps from V5 to Fano threefolds with canonical singularities. The proofs of these results are similar to the proof of Theorem 1.4.1 and are obtained by strengthening Theorem 18.1.1.
