Singularities of pairs and jet schemes --
Lawrence Ein, October 4, 2002

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We will discuss joint work with M. Mustata and T. Yasuda on jet schemes
and singularities of pairs. We describe how to compute some of the
invariants of singularities using jet schemes. As an application, we are  
able to give a proof for the inversion of adjunction conjecture, when the
ambient space is smooth.