Iitaka-Severi's Conjecture for Complex Threefolds

Gerd Dethloff

Iitaka-Severi's Conjecture for Complex Threefolds

alg-geom 2014-12-02 v2 代数几何

作者: Gerd Dethloff

摘要

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$.

关键词

projective varieties rational maps toric varieties

引用

@article{arxiv.alg-geom/9505016,
  title  = {Iitaka-Severi's Conjecture for Complex Threefolds},
  author = {Gerd Dethloff},
  journal= {arXiv preprint arXiv:alg-geom/9505016},
  year   = {2014}
}

备注

This paper has been withdrawn by the author. Withdrawn since its content had been subsumed (with improvement) in arXiv:alg-geom/9608033

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