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2009

The Kahler-Ricci flow through singularities

Song, Jian, Tian, Gang

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We prove the existence and uniqueness of the weak Kahler-Ricci flow on projective varieties with log terminal singularities.

It is also shown that the weak Kahler-Ricci flow can be uniquely continued through divisorial contractions and flips if they exist.
We then propose an analytic version of the Minimal Model Program with Ricci flow.

The Kahler-Ricci flow through singularities · Around

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Hacon, C. and McKernen, J
Original
1929
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Cheng, S. Y. and Yau, S. T
1975
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Aubin, T
1976
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Yau, S.-T
1978
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Yau, S.-T
1978
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Fornaess, J. E. and Narasimhan, R
1980
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Li, P. and Yau, S.T
1980
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Hamilton, R
1982
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Bando, S. and Mabuchi, T
1987
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Kawamata, Y., Matsuda, K. and K. Matsuki, K
1987
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Tsuji, H
1988
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