Curves on Oeljeklaus-Toma Manifolds

2011/11/16 by Verbitsky, Sima · 1 citation
#Algebraic Geometry (math.AG) #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1111.3828

Abstract

Oeljeklaus-Toma manifolds are complex non-Kähler manifolds constructed by Oeljeklaus and Toma from certain number fields, and generalizing the Inoue surfaces S_m. We prove that Oeljeklaus-Toma manifolds contain no compact complex curves.

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