3 papers
math.AG2022
The Classification of Hyperelliptic Groups in Dimension 4
Andreas Demleitner
Hyperelliptic manifolds are natural generalizations of hyperelliptic surfaces in dimensions. We provide a full classification of the groups, which arise as the holonomy group of a…
math.AG2018
The classification of Hyperelliptic threefolds
Fabrizio Catanese, Andreas Demleitner
We complete the classification of hyperelliptic threefolds, describing in an elementary way the hyperelliptic threefolds with group . These are algebraic and form an irreducib…
math.AG2018
Hyperelliptic Threefolds with group , the Dihedral group of order 8
Fabrizio Catanese, Andreas Demleitner
We give a simple construction for the hyperelliptic threefolds with group , thus completing the classification of hyperelliptic threefolds.