On the Global Monodromy of a Fibration of the Fermat Surface of Odd Degree $n$

On the global monodromy of a Lefschetz fibration arising from the Fermat surface of degree 4

“…Based on the result of [2], the global monodromy was described in terms of Dehn twists for the case n = 5 in [10] (in this case the genus of the general fibers is 3). Recently, Ahara and Awata [1] determined how general fibers of f degenerate to the singular fibers for all n, without numerical analysis.…”

“…(1,10) 18 (1,4) 27 (4,7) 36 (7,10) Observation 2. For any root a j (1) of G v i , the number of roots of F v i a j (1) is 3.…”