Deformations of rational surface singularities and reflexive modules with an application to flops
Peer reviewed, Journal article
Published version
Åpne
Permanent lenke
https://hdl.handle.net/1956/19254Utgivelsesdato
2018Metadata
Vis full innførselSamlinger
Originalversjon
https://doi.org/10.1016/j.aim.2018.10.023Sammendrag
Blowing up a rational surface singularity in a reflexive module gives a (any) partial resolution dominated by the minimal resolution. The main theorem shows how deformations of the pair (singularity, module) relates to deformations of the corresponding pair of partial resolution and locally free strict transform, and to deformations of the underlying spaces. The results imply some recent conjectures on small resolutions and flops.