Contribution of jumping numbers by exceptional divisors, with an appendix by Karen E. Smith and Kevin Tucker

2016/07/29 by Hans Baumers, Baumers, Hans, Willem Veys +1 · 1 citation
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.1607.08815

arxiv created 2017/11/05 · arxiv updated 2017/11/07

Abstract

We investigate some necessary and sufficient conditions for an exceptional divisor to contribute jumping numbers of an effective divisor on a variety of arbitrary dimension, inspired by the results for curves on surfaces by Smith and Thompson and Tucker. In particular, we construct an example of an exceptional divisor that is not contracted in the log canonical model, and does not contribute any jumping numbers.

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• Multiplier Modules of extended Rees algebras

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