Imperial College London

Professor Paolo Cascini

Faculty of Natural SciencesDepartment of Mathematics

Head of Pure Mathematics Section/Professor of Mathematics
 
 
 
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Contact

 

+44 (0)20 7594 8861p.cascini

 
 
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Location

 

676Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{P:2005,
author = {P, Cascini and G, La Nave},
title = {Kähler-Ricci Flow and the Minimal Model Program for Projective Varieties.},
year = {2005}
}

RIS format (EndNote, RefMan)

TY  - JOUR
AB - In this note we propose to show that the Kähler-Ricci flow fits naturally within the context of the Minimal Model Program for projective varieties. In particular we show that the flow detects, in finite time, the contraction theorem of any extremal ray and we analyze the singularities of the metric in the case of divisorial contractions for varieties of general type. In case one has a smooth minimal model of general type (i.e., the canonical bundle is nef and big), we show infinite time existence and analyze the singularities.
AU - P,Cascini
AU - G,La Nave
PY - 2005///
TI - Kähler-Ricci Flow and the Minimal Model Program for Projective Varieties.
ER -