Samuel Grushevsky
Published 2005-02-17, updated 2005-03-28Version 3
In this expository introductory text we discuss the multiplier ideals in algebraic geometry. We state Kawamata-Viehweg's and Nadel's vanishing theorems, give a proof (following Ein and Lazarsfeld) of Koll\'ar's bound on the maximal multiplicity of the theta divisor, and explain the asymptotic constructions and the ideas of Siu's proof of the deformation invariance of plurigenera. We also indicate the analytic interpretation of the theory.
Comments: Expository introduction to multiplier ideals, based on the talk at Algebraic Geometry: Presentations by Young Researchers meeting in Snowbird, July 2004. final version
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