Albanese varieties of singular varieties over a perfect field
Albanese varieties of singular varieties over a perfect field
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阿尔巴尼亚品种的奇异品种在完美的田野上
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发表时间：
2011
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通讯作者：
Henrik Russell
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作者：
Henrik Russell
设X是一个射影变，可能是奇异的。Esnault， Srinivas和Viehweg用Levine-Weibel在代数闭基域上构造了X的广义Albanese变元作为0环相对Chow群的普遍正则商。本文利用带单幂部分的1-动机对偶理论，得到了完备基域上esnault - srinivasv - viehweg的Albanese的函子描述。
Let X be a projective variety, possibly singular. A generalized Albanese variety of X was constructed by Esnault, Srinivas and Viehweg over algebraically closed base field as a universal regular quotient of the relative Chow group of 0-cycles by Levine-Weibel. In this paper, we obtain a functorial description of the Albanese of Esnault-Srinivas-Viehweg over a perfect base field, using duality theory of 1-motives with unipotent part.