Iitaka-Severi's Conjecture for Complex Threefolds

Abstract

We prove the following generalization of Severi's Theorem: Let $X$ be a fixed complex variety. Then there exist, up to birational equivalence, only finitely many complex varieties $Y$ of general type of dimension at most three which admit a dominant rational map $f$ from $X$ to Y$.

This paper has been withdrawn by the author. Withdrawn since its content had been subsumed (with improvement) in arXiv:alg-geom/9608033