On the fundamental groups of normal varieties
On the fundamental groups of normal varieties
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论正规品种的基本群
DOI：
10.1142/s0219199715500650
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发表时间：
2014
期刊：
影响因子：
--
通讯作者：
R. Hain
中科院分区：
文献类型：
--
作者：
D. Arapura;A. Dimca;R. Hain
证明了正规复代数簇的基本群具有光滑簇的基本群的许多性质。正规簇上的秩一局部系统的跳跃轨迹与该簇的分解和光滑化的跳跃轨迹有关。
We show that the fundamental groups of normal complex algebraic varieties share many properties of the fundamental groups of smooth varieties. The jump loci of rank one local systems on a normal variety are related to the jump loci of a resolution and of a smoothing of this variety.