2006/01/05 by Fabrizio Catanese, Paola Frediani, Catanese, Fabrizio +1
Mathematics · #14J15 #14P99 #32G08 #32L05 #32Q99 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Complex Variables (math.CV) #FOS: Mathematics #Geometric and Algebraic Topology #Geometry and complex manifolds
paper · pdf · doi:10.48550/arxiv.math/0601108
openalex publication_date 2006/01/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We describe the family of real structures σ on principal holomorphic torus bundles X over tori, and prove its connectedness when the complex dimension is at most three. From this and previous results of the authors follows that the differentiable type (more precisely, the orbifold fundamental group) determines the deformation type of the pair (X, σ) provided we have complex dimension at most three, fibre dimension one, and a certain 'reality' condition on the fundamental group is satisfied.