Noah Ruhland

collaborators

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.AG2026

Genus $2$ pencils on surfaces with $p_{g} = K^{2} = 1$ , envelopes, and conics tangent to plane cubic curves

Fabrizio Catanese, Noah Ruhland

We consider $(1, 1)$ -surfaces, namely, minimal compact complex surfaces $S$ with $p_{g} (S) = K_{S}^{2} = 1$ : for these the bicanonical map is a covering of degree $4$ of the plane $\mathbb{…

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…

Computation of Singular Godeaux Surfaces and a New Explicit Fake Quadric (With an Appendix by Christian Gleissner and Noah Ruhland)

Genus 2 pencils on surfaces with pg​=K2=1, envelopes, and conics tangent to plane cubic curves

On Rigid Varieties Isogenous to a Product of Curves

Genus $2$ pencils on surfaces with $p_{g} = K^{2} = 1$ , envelopes, and conics tangent to plane cubic curves