| EPSRC Reference: |
GR/R90802/01 |
| Title: |
Graded components of local cohomology modules |
| Principal Investigator: |
Katzman, Dr M |
| Other Investigators: |
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| Department: |
Mathematics and Statistics |
| Organisation: |
University of Sheffield |
| Scheme: |
Fast Stream |
| Starts: |
03 April 2002 |
Ends: |
02 April 2004 |
Value (£): |
10,866
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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My plan is to exploit the representations of the graded components of top local cohomology modules as the cokernels of certain matrices to produce examples which exhibit unusual behaviour. Such examples would include local cohomology modules of k-algebras (where k is a field) with infinitely many associated primes and local cohomology modules of algebras over a field of characteristic zero with cohomological Hilbert functions which are not of polynomial type.I would also like to find representations of local cohomology modules which would enable one to carry out effective computations of their properties. One such algorithm would be for the detection of the vanishing of graded components of local cohomology modules.Another aim is to link these results to other areas of research in commutative algebra. Two candidates for such areas are Hilbert-Kunz functions and the theory of tight closure.
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Key Findings |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Potential use in non-academic contexts |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
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| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
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| Date Materialised |
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Sectors submitted by the Researcher |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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| Project URL: |
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| Further Information: |
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| Organisation Website: |
http://www.shef.ac.uk |