7 papers · 1 filter
Crystallographic Groups and Calabi-Yau 3-folds of Type
Christian Gleißner, Julia Kotonski
We provide a fine classification of Gorenstein quotients of three-dimensional abelian varieties with isolated singularities, up to biholomorphism and homeomorphism. This refines a…
Towards a Classification of Rigid Product Quotient Varieties of Kodaira Dimension 0
Ingrid Bauer, Christian Gleissner
In this paper the authors study quotients of the product of elliptic curves by a rigid diagonal action of a finite group . It is shown that only for $G = \operatorname{He(3)}, \…
Fermat's Cubic, Klein's Quartic and Rigid Complex Manifolds of Kodaira Dimension One
Ingrid Bauer, Christian Gleissner
For each the authors provide an -dimensional rigid compact complex manifold of Kodaira dimension . First they construct a series of singular quotients of products…
A family of threefolds of general type with canonical map of high degree
Davide Frapporti, Christian Gleissner
In this note we provide a two-dimensional family of smooth minimal threefolds of general type with canonical map of degree 96, improving the previous known bound of 72.
The pluricanonical systems of a product-quotient variety
Filippo F. Favale, Christian Gleissner, Roberto Pignatelli
We give a method for the computation of the plurigenera of a product-quotient manifold. We give two different types of applications to it: to the construction of Calabi-Yau threefo…
New surfaces with canonical map of high degree
Christian Gleissner, Roberto Pignatelli, Carlos Rito
We give an algorithm that, for a given value of the geometric genus computes all regular product-quotient surfaces with abelian group that have at most canonical singulariti…