3 papers
math.AG2026
Computation of Singular Godeaux Surfaces and a New Explicit Fake Quadric (With an Appendix by Christian Gleissner and Noah Ruhland)
Carlos Rito, Christian Gleissner, Noah Ruhland
We present a computational method for detecting highly singular members in families of algebraic varieties. Applying this approach to a family of numerical Godeaux surfaces, we obt…
math.AG2025
On Rigid Varieties Isogenous to a Product of Curves
Federico Fallucca, Christian Gleissner, Noah Ruhland
In this note, we study rigid complex manifolds that are realized as quotients of a product of curves by a free action of a finite group. They serve as higher-dimensional analogues…
math.AG2024
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…