Discrepancies of non-$\Q$-Gorenstein varieties

Abstract

We give an example of a non $\Q$-Gorenstein variety which is canonical but not klt, and whose canonical divisor has an irrational valuation. We also give an example of an irrational jumping number and we prove that there are no accumulation points for the jumping numbers of normal non-$\Q$-Gorenstein varieties with isolated singularities.

12 pages - minor changes

References in corpus (2)

• Singularities on normal varieties
• Discreteness and rationality of $F$-jumping numbers on singular varieties

Cited by in corpus (4)

• Test ideals of non-principal ideals: Computations, Jumping Numbers, Alterations and Division Theorems
• On the Volume of Isolated Singularities
• The jumping coefficients of non-Q-Gorenstein multiplier ideals
• Discreteness of $F$-jumping numbers at isolated non-Q-Gorenstein points