## Deformation invariance of rational pairs

- L. Erickson
- Ph.D. Thesis, University of Washington. USA,
- 2014

@article{Prelli2017OnRD, title={On rationalizing divisors}, author={Lorenzo Prelli}, journal={Periodica Mathematica Hungarica}, year={2017}, volume={75}, pages={210-220} }

- Published 2017 in Periodica Mathematica Hungarica
DOI:10.1007/s10998-017-0188-x

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.