A survey of test ideals

Details A survey of test ideals A survey of test ideals

2011-04-11

arxiv.org/abs/1104.2000v2

Mathematics

Algebraic Geometry

44 pages, minor corrections and some added/updated references. Comments very welcome (please let us know if we left out someth

Scientific paper

Test ideals were first introduced by Mel Hochster and Craig Huneke in their celebrated theory of tight closure, and since their invention have been closely tied to the theory of Frobenius splittings. Subsequently, test ideals have also found application far beyond their original scope to questions arising in complex analytic geometry. In this paper we give a contemporary survey of test ideals and their wide-ranging applications.

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