A survey of test ideals
Abstract
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- April 2011
- DOI:
- 10.48550/arXiv.1104.2000
- arXiv:
- arXiv:1104.2000
- Bibcode:
- 2011arXiv1104.2000S
- Keywords:
-
- Mathematics - Algebraic Geometry;
- Mathematics - Commutative Algebra;
- 14B05;
- 13A35;
- 14F18;
- 14J17
- E-Print:
- 44 pages, minor corrections and some added/updated references. Comments very welcome (please let us know if we left out something obvious)