| EPSRC Reference: |
EP/I004092/1 |
| Title: |
Minimal Model Program in Birational Geometry |
| Principal Investigator: |
Cascini, Professor P |
| Other Investigators: |
|
| Researcher Co-Investigators: |
|
| Project Partners: |
|
| Department: |
Mathematics |
| Organisation: |
Imperial College London |
| Scheme: |
First Grant - Revised 2009 |
| Starts: |
14 January 2011 |
Ends: |
17 June 2013 |
Value (£): |
83,943
|
| EPSRC Research Topic Classifications: |
|
| EPSRC Industrial Sector Classifications: |
| No relevance to Underpinning Sectors |
|
|
| Related Grants: |
|
| Panel History: |
| Panel Date | Panel Name | Outcome |
|
12 May 2010
|
Mathematics Prioritisation Panel May 2010
|
Announced
|
|
|
Summary on Grant Application Form |
|
Algebraic Geometry is the study of algebraic varieties, i.e. the setof points satisfying a system of polynomial equations. In the last two decades, algebraic geometry has played a central role in Mathematics, due to its many applications in different fields. Thus, it is of crucial importance to find a classification of thesevarieties. The Minimal Model Program, started by Mori around the 1970's, aims to generalize the classification of projective surfaces,i.e. two dimensional projective varieties, to higher dimensional varieties. This Program was successfully carried out in the 1980's for projectivethree-folds, i.e. projective varieties of dimension three. In higher dimension, many problems concerning the geometry of projective varieties are still open. The proposed research aims to solve some of these outstanding problems, making progress in the Minimal Model Program.
|
|
Key Findings |
|
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
|
|
Potential use in non-academic contexts |
|
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
|
|
Impacts |
|
| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
|
| Date Materialised |
|
|
|
|
Sectors submitted by the Researcher |
|
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
|
| Project URL: |
|
| Further Information: |
|
| Organisation Website: |
http://www.imperial.ac.uk |