Weak toroidalization over non-closed fields
Weak toroidalization over non-closed fields
复制标题
非闭域上的弱环形化
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
K. Karu
中科院分区：
文献类型：
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作者：
D. Abramovich;J. Denef;K. Karu
我们证明了特征为零的域k上的任何代数簇的显性态射都可以通过源和目标的投射双射变换为环状(从而是单项的)态射。当k是代数闭集时，第一和第三作者已经证明了这一点。此外，我们还证明了可以满足某些额外的要求。
We prove that any dominant morphism of algebraic varieties over a field k of characteristic zero can be transformed into a toroidal (hence monomial) morphism by projective birational modifications of source and target. This was previously proved by the first and third author when k is algebraically closed. Moreover we show that certain additional requirements can be satisfied.