Erik Paemurru

activity

20242026

collaborators

4 papers

math.AG2026

Blowups of smooth hypersurfaces, their birational geometry and divisorial stability

Livia Campo, Tiago Duarte Guerreiro, Erik Paemurru

Let $X$ be a smooth $n$ -dimensional Fano hypersurface in $P^{n + 1}$ where $n \geq 3$ . Let $I^$ be a smooth positive-dimensional complete intersection of $X$ , a hypersurface…

math.AG2025

Very ample line bundles on weighted projective spaces and weighted blowups

Stevell Muller, Erik Paemurru

We consider line bundles $O (k d)$ on weighted projective spaces, where $k$ is an integer and $d$ is the least common multiple of the weights. Such line bundles are ample i…

math.AG2025

Local inequalities for $c A_{k}$ singularities

Igor Krylov, Takuzo Okada, Erik Paemurru

We generalize an intersection-theoretic local inequality of Fulton-Lazarsfeld to weighted blowups. As a consequence, we obtain the $4 n^{2} / (k + 1)$ -inequality for isolated $c A_{k}$ singu…

math.AG2024

Birational geometry of sextic double solids with a compound $A_{n}$ singularity

Erik Paemurru

Sextic double solids, double covers of $P^{3}$ branched along a sextic surface, are the lowest degree Gorenstein Fano 3-folds, hence are expected to behave very rigidly in te…

Blowups of smooth hypersurfaces, their birational geometry and divisorial stability

Very ample line bundles on weighted projective spaces and weighted blowups

Local inequalities for cAk​ singularities

Birational geometry of sextic double solids with a compound An​ singularity

Local inequalities for $c A_{k}$ singularities

Birational geometry of sextic double solids with a compound $A_{n}$ singularity