On the fundamental groups of normal varieties

Alexandru Dimca; Donu Arapura; Richard Hain

arxiv: 1412.1483 · v2 · pith:LZF66AWPnew · submitted 2014-12-03 · 🧮 math.AG · math.AT

On the fundamental groups of normal varieties

Donu Arapura , Alexandru Dimca , Richard Hain This is my paper

classification 🧮 math.AG math.AT

keywords fundamentalgroupsnormalvarietiesjumplocivarietyalgebraic

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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.

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On the fundamental groups of normal varieties

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