| EPSRC Reference: |
EP/J019356/1 |
| Title: |
Foliation Theory in Birational Geometry |
| Principal Investigator: |
Cascini, Professor P |
| Other Investigators: |
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| Researcher Co-Investigators: |
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| Project Partners: |
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| Department: |
Mathematics |
| Organisation: |
Imperial College London |
| Scheme: |
Standard Research |
| Starts: |
28 January 2013 |
Ends: |
27 January 2016 |
Value (£): |
218,570
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| EPSRC Research Topic Classifications: |
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
The goal of the Minimal Model Program is to generalise the main results
of the Castelnuovo-Enrique-Severi classification of algebraic surfaces, to
higher dimensional projective varieties.
The programme was started by Mori in the 1980s, for which he won the
prestigious Fields Medal. It was successfully carried out for projective
threefolds by Kawamata, Kollár, Miyaoka, Mori, Reid, Shokurov and many
others. More recently, some of these results were also generalised to any dimension.
The purpose of the proposed research is to develop new techniques, using
Foliation Theory, to solve some of the current obstacles in the Minimal
Model Program. This will be achieved by combining together tools from different areas of mathematics,
such as Number Theory, Kähler Geometry and Analysis. In particular, I plan to use the new results
in the Minimal Model Program to study the classification of foliations over
a projective variety.
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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.imperial.ac.uk |