2011/08/07 by Sándor J Kovács, Kovács, Sándor J
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG
paper · pdf · doi:10.48550/arxiv.1108.1586
12 pages. To appear in the volume on "Compact moduli spaces and vector bundles"
arxiv created 2011/08/07 · arxiv updated 2011/08/09
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.