The splitting principle and singularities

Details The splitting principle and singularities The splitting principle and singularities

2011-08-07

arxiv.org/abs/1108.1586v1

Mathematics

Algebraic Geometry

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

Scientific paper

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.

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