Simpson's construction of varieties with many local systems

2016/10/01 by Donu Arapura, Arapura, Donu
Mathematics · #14H30 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1610.00205

openalex publication_date 2016/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The purpose of this largely expository note is to give some examples of smooth projective varieties with zero first Betti number but nontrivial families of local systems of higher ranks. The most interesting examples are due to Simpson.

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