4 papers
The Classification of Rigid Torus Quotients with Canonical Singularities in Dimension Three
Christian Gleissner, Julia Kotonski
We provide a fine classification of rigid three-dimensional torus quotients with isolated canonical singularities, up to biholomorphism and diffeomorphism. This complements the cla…
On Rigid Manifolds of Kodaira Dimension 1
Ingrid Bauer, Christian Gleissner, Julia Kotonski
We discuss rigid compact complex manifolds of Kodaira dimension 1, arising as product-quotient varieties. First, we show that there is no free rigid action on the product of $(n-1)…
Semi-Projective Representations and Twisted Representation Groups
Massimiliano Alessandro, Christian Gleissner, Julia Kotonski
A semi-projective representation is a homomorphism of a finite group into the group of semi-projective transformations of a finite dimensional vector space over a field. Schur's co…
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…