Iitaka-Severi's Conjecture for Complex Threefolds
classification
alg-geom
math.AG
keywords
complexadmitbirationalconjecturedimensiondominantequivalenceexist
read the original 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$.
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