Discrepancies of non-$\Q$-Gorenstein varieties

Mathematics – Algebraic Geometry

Scientific paper

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12 pages - minor changes

Scientific paper

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.

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