Periodica Mathematica Hungarica

, Volume 75, Issue 2, pp 210–220 | Cite as

On rationalizing divisors

  • Lorenzo PrelliEmail author


Rational pairs generalize the notion of rational singularities to reduced pairs (XD). 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 (XD) 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.


Singularities Rational pairs Divisors 



The author would like to thank his advisor Sándor Kovács for his supervision, direction, and many insights into the subject of this project. The author would also like to thank Siddharth Mathur for numerous useful conversations.


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Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2017

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of WashingtonSeattleUSA

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