| EPSRC Reference: |
GR/R32093/01 |
| Title: |
Construction of Brill-Noether Ioci |
| Principal Investigator: |
Newstead, Professor PE |
| Other Investigators: |
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| Researcher Co-Investigators: |
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| Project Partners: |
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| Department: |
Mathematical Sciences |
| Organisation: |
University of Liverpool |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
16 March 2001 |
Ends: |
15 April 2001 |
Value (£): |
1,871
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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The aim of this project is to carry out further investigation of the existence of bundles over algebraic curves with at least a specified number of sections. These bundles give rise to the so-called Brill-Noether loci in the moduli spaces of stable bundles. The methods we propose to use are similar to those of a previous joint paper with Brambila-Paz, the PI and the VF and will exploit the VF's expertise in handling extensions of vector bundles. The main aim will be to construct new examples of non-empty Brill-Noether loci, and possibly also to prove emptiness results. We shall look in particular at the rank 2 case which is still not completely understood, and at the possibilities for obtaining new Brill-Noether loci by tensoring known ones by stable bundles.
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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.liv.ac.uk |