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# Dynamic Multiplier Ideal Sheaves and the Construction of Rational Curves in Fano Manifolds Dedicated to Professor

@inproceedings{Siu2009DynamicMI, title={Dynamic Multiplier Ideal Sheaves and the Construction of Rational Curves in Fano Manifolds Dedicated to Professor}, author={Y Siu}, year={2009} }

- Published 2009

Introduction. Multiplier ideal sheaves were introduced by Kohn [Kohn1979] and Nadel [Nadel1990] to identify the location and the extent of the failure of crucial estimates. Such multiplier ideal sheaves are defined by a family or a sequence of inequalities instead of a single inequality. In Kohn’s definition there is one inequality for every test function (or test form) and the multiplier has to make all the inequalities hold for all the test functions (or test forms) at the same time. Nadel’s… CONTINUE READING

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