Functorial factorization of birational maps for qe schemes in characteristic 0
Functorial factorization of birational maps for qe schemes in characteristic 0
复制标题
特征 0 中 qe 方案的双有理映射的函数分解
DOI：
10.2140/ant.2019.13.379
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发表时间：
2014
影响因子：
1.3
通讯作者：
M. Temkin
中科院分区：
文献类型：
--
作者：
D. Abramovich;M. Temkin
在现有的变体证明的基础上，广泛地证明了特征为0的正则拟优格式的射影双态射的泛函弱分解。由这一泛函子命题，我们推导出代数堆、形式格式、复解析芽、Berkovich解析空间和刚性解析空间的分解结果。
We prove functorial weak factorization of projective birational morphisms of regular quasi-excellent schemes in characteristic 0 broadly based on the existing line of proof for varieties. From this general functorial statement we deduce factorization results for algebraic stacks, formal schemes, complex analytic germs, Berkovich analytic and rigid analytic spaces.