A high fibered power of a family of varieties of general type dominates a variety of general type
Abstract
We prove the following theorem:
Fibered Power Theorem: Let $X\rar B$ be a smooth family of positive dimensional varieties of general type, with
B
irreducible. Then there exists an integer
n>0
, a positive dimensional variety of general type
W
n
, and a dominant rational map $X^n_B \das W_n$.