8 citations · 11 across the 6 of their papers we have counts for
6 papers
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…
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…
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…
-inequality for points and applications to birational rigidity
Igor Krylov, Takuzo Okada, Erik Paemurru +1
The -inequality for smooth points plays an important role in the proofs of birational (super)rigidity. The main aim of this paper is to generalize such an inequality to term…
Birational geometry of sextic double solids with a compound singularity
Erik Paemurru
Sextic double solids, double covers of branched along a sextic surface, are the lowest degree Gorenstein Fano 3-folds, hence are expected to behave very rigidly in te…
Del Pezzo Surfaces in Weighted Projective Spaces
Erik Paemurru
We study singular del Pezzo surfaces that are quasi-smooth and well-formed weighted hypersurfaces. We give an algorithm how to classify all of them.