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Advances in Algebra and Geometry |
| April 28, 2007 to May 04, 2007 |
| Organized By: David Ellwood, Joe Harris, Craig Huneke, Hugo Rossi, Frank-Olaf Schreyer, Bernd Sturmfels, Julius Zelmanowitz |
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| Return to Workshop Description |
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Numerical criteria for integral dependence
Thursday May 3, 2007
09:30AM - 10:30AM
Speakers:
Bernd Ulrich
Abstract:
We give multiplicity based criteria for integral dependence of modules. This type of criteria goes back to Rees, who treated the case of zero-dimensional ideals in local rings. Much later, Flenner and Manaresi were able to extend Rees's work to arbitrary ideals, using the notion of j-multiplicity instead of the classical Hilbert-Samuel multiplicity. We consider the general case of arbitrary finitely generated modules. Our proof is self-contained and relatively short, and implies the earlier algebraic results as special cases.
This is a report on joint work with Javid Validashti.
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