| EPSRC Reference: |
GR/M03382/01 |
| Title: |
FREE DIVISORS AND D-MODULES |
| Principal Investigator: |
Mond, Professor D |
| Other Investigators: |
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| Researcher Co-Investigators: |
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| Project Partners: |
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| Department: |
Mathematics |
| Organisation: |
University of Warwick |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
31 July 1998 |
Ends: |
30 July 1999 |
Value (£): |
6,700
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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The visitor will study the phenomenon of differential linkage observed empirically by the Principal Investigator: divisors D and E are differentially linked if DUE is a free divisor. He will collaborate with the Principal Investigator in seeking a general proof that in particular the image of a stable corank map is differentially linked to its adjoint divisor and in looking for other situations in which the phenomenon occurs.Free divisions appear throughout singularity theory as discriminants and bifurcation sets. Calculating the cohomology of the complement is an important step in understanding deformation theory. The Visiting Fellow will study the relation between the cohomology of the complement and the cohomology of the logarithmic de Rham complex. The first step in this objective will be the study of the exactness of the logarithmic Spencer complex. This condition is necessary for the perversity of the logarithmic de Rham complex, which itself is a necessary condition for the logarithmic comparison theorem to hold.
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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.warwick.ac.uk |