Let f: C^n->C be a polynomial and assume that infinitely many fibers of f are isomorphic. Is it true that f is isotrivial?

Let f: C^n->C be a polynomial and assume that infinitely many fibers of f are isomorphic. Is it true that f is isotrivial, i.e., almost all fibers of f are isomorphic?

05 April 2014 4,479 2 View