English

The splitting principle and singularities

Algebraic Geometry 2011-08-09 v1

Abstract

The splitting principle states that morphisms in a derived category do not "split" accidentally. This has been successsfully applied in several characterizations of rational, DB, and other singularities. In this article I prove a general statement that implies many of the previous individual statements and improves some of the characterizations in the process.

Keywords

Cite

@article{arxiv.1108.1586,
  title  = {The splitting principle and singularities},
  author = {Sándor J Kovács},
  journal= {arXiv preprint arXiv:1108.1586},
  year   = {2011}
}

Comments

12 pages. To appear in the volume on "Compact moduli spaces and vector bundles"

R2 v1 2026-06-21T18:47:32.554Z