Zero cycles and complete intersections on singular varieties.

Zero cycles and complete intersections on singular varieties.
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单一品种的零循环和完全交叉。

DOI:
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发表时间:
1985
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影响因子:
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通讯作者:
M. Levine
M. Levine
中科院分区:
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文献类型:
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作者:
C. Weibel;M. Levine

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(ii)利用群CH0(X, 7)证明了交换代数的一个新结果。具体地说,设A是在代数闭域上完全生成的一个约简二维代数。如果A不是定义域,为了方便,我们假设A的所有分量都是二维的。考虑由两个元素(分别是2个生成的理想的根)生成的regulär最大理想集。我们用定理5来证明。l这些集合是A的所有regulär极大理想族的闭子集的可数并集。
(ii) We can utilize the group CH0(X, 7) to prove a new result about commutative algebra. Specifically, let A be a reduced 2-dimensional algebra fmitely generated over an algebraically closed field. If A is not a domain, we assume all components of A are 2-dimensional for convenience. Consider the sets of regulär maximal ideals which are generated by two elements (respectively, the radical of a 2-generated ideal). We show in Theorem 5. l that these sets are countable unions of closed subsets of the family of all regulär maximal ideals of A.