Author

A. Höring

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Preprint Oct 2026

Canonical extensions of ruled surfaces over elliptic curves

Let $L$ be a line bundle of negative degree on an elliptic curve $E$. While the ruled surface $M := \mathbb P(\mathcal O_E \oplus L)$ is one of the simplest varieties in algebraic geometry, its tangent bundle $T_M$ is surprisingly complex: we first show that the ring of symmetric tensors is not finitely generated. We t...

F. Denisi, A. Höring · 0 citations

Preprint Sep 2026

Singularities of totally invariant hypersurfaces of endomorphisms

Let $f\colon X\to X$ be a polarised endomorphism of a complex projective manifold, and let $D\subset X$ be a reduced totally invariant hypersurface. We prove that every irreducible component of the singular locus of $D$ has codimension one in $D$. In particular, if $D$ is normal, then it is smooth. As an application we...

Amaël Broustet, A. Höring · 1 citation · ⚡1