Iitaka-Severi's Conjecture for Complex Threefolds

Details Iitaka-Severi's Conjecture for Complex Threefolds Iitaka-Severi's Conjecture for Complex Threefolds

1995-05-12

arxiv.org/abs/alg-geom/9505016v1

Mathematics

Algebraic Geometry

13 pages, LaTeX

Scientific paper

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$.

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