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Periodica Mathematica Hungarica

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

On rationalizing divisors

  • Lorenzo PrelliEmail author
Article
  • 53 Downloads

Abstract

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.

Keywords

Singularities Rational pairs Divisors 

Notes

Acknowledgements

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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