3 papers
math.AG2025
Very ample line bundles on weighted projective spaces and weighted blowups
Stevell Muller, Erik Paemurru
We consider line bundles on weighted projective spaces, where is an integer and is the least common multiple of the weights. Such line bundles are ample i…
math.AG2025
Local inequalities for 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 -inequality for isolated singu…
math.AG2023
Blowups of smooth hypersurfaces, their birational geometry and divisorial stability
Livia Campo, Tiago Duarte Guerreiro, Erik Paemurru
Let be a smooth -dimensional Fano hypersurface in where . Let be a smooth positive-dimensional complete intersection of , a hypersurface a…