On Simple Points Of Character Varieties Of 3-Manifolds

On Simple Points Of Character Varieties Of 3-Manifolds
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论三流形性状变异的简单点

DOI:
10.1142/9789812792679_0003
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发表时间:
2000
期刊:
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影响因子:
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通讯作者:
Xingru Zhang
Xingru Zhang
中科院分区:
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文献类型:
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作者:
S. Boyer;Xingru Zhang

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X,记作dim (X),是C [X\]的Krull维数。对于x - x, x在x处的维数,写为dimx (x),是x经过x的代数分量的最大维数。我们用T - ar (x)表示x在x处的Zariski切空间。如果dim {TxZaT {x))= dimx (x),则点x - x称为简单点。下列基本结论的证明,可以在[Sh]§11.2中找到。
X, denoted dim (X), is the Krull dimension of C [X\. For x€ X, the dimension of X at x, written dimx (X), is the maximum dimension of an algebraic component of X which passes through x. We use T£ ar (X) to denote the Zariski tangent space of X at x. A point x€ X is called simple if dim {TxZaT {X))= dimx (X). A proof of the following basic result can be found in § 11.2 of [Sh].