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Details of Grant 

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: Dept of 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:
Algebra & Geometry
EPSRC Industrial Sector Classifications:
No relevance to Underpinning Sectors
Related Grants:
Panel History:
Panel DatePanel NameOutcome
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.
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Organisation Website: http://www.imperial.ac.uk