On rationalizing divisors

@article{Prelli2017OnRD,
  title={On rationalizing divisors},
  author={Lorenzo Prelli},
  journal={Periodica Mathematica Hungarica},
  year={2017},
  volume={75},
  pages={210-220}
}
Rational pairs generalize the notion of rational singularities to reduced pairs (X, D). In this paper we deal with the problem of determining whether a normal variety X has a rationalizing divisor, i.e., a reduced divisor D such that (X, D) is a rational pair. We give a criterion for cones to have a rationalizing divisor, and relate the existence of such a divisor to the locus of rational singularities of a variety. 

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