Discrepancy (algebraic geometry)

In algebraic geometry, given a pair (X, D) consisting of a normal variety X and a ℚ-divisor D on X (e.g., canonical divisor), the discrepancy of the pair (X, D) measures the degree of the singularity of the pair.

## See also

* Canonical singularity
* Crepant resolution

## References

* Kollár, János; Mori, Shigefumi (1998), Birational geometry of algebraic varieties, Cambridge Tracts in Mathematics, 134, Cambridge University Press, ISBN 978-0-521-63277-5

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