The K盲hler-Ricci flow and canonical measures

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Jian Song, Rutgers University

We define and prove the existence of canonical measures of Einstein type on algebraic manifolds of nonnegative Kodaira dimension. We also show that the K盲hler-Ricci flow can be uniquely defined on algebraic varieties with log terminal singularities. It reveals the deep connection between the Ricci flow and the classification of algebraic varieties.