Discrepancy (Algebraic Geometry)

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

• Canonical singularity
• Crepant resolution

• 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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