Algebraic varieties with small Chow groups
Algebraic varieties with small Chow groups
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DOI：
10.1215/kjm/1250518004
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发表时间：
1998
影响因子：
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通讯作者：
R. Laterveer
中科院分区：
文献类型：
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作者：
R. Laterveer
芒福德定理通常被解读为表明对于一般簇，Chow群在余维> 1中是“非常大的”。但是另一种解释芒福德定理的方式是，具有“小”Chow群的簇具有非常特殊的性质。这最后一个想法是系统地探讨布洛赫和Srinivas [B-S]。观察到如果A0（X，）在曲线上有支集（对于泛
Mumford's theorem is usually read as indicating that for a general variety, the Chow groups are "very large" in codimension > 1. But another way of paraphrasing Mumford's theorem is that varieties with "small" Chow groups have very special properties. This last idea is systematically explored by Bloch and Srinivas [B-S]. Observing that A ir " X is finite dimensional if A 0 (X ,) has support on a curve (for a universal