Geodesic
Singularities of pairs via jet schemes
Mustaţǎ, Mircea1, 2
1 Department of Mathematics, University of California, Berkeley, California 94720 – and – Institute of Mathematics of the Romanian Academy
2 Clay Mathematics Institute, 1770 Massachusetts Avenue, No. 331, Cambridge, Massachusetts 02140
Journal of the American Mathematical Society, Tome 15 (2002) no. 3, pp. 599-615

Voir la notice de l'article provenant de la source American Mathematical Society

Let $X$ be a smooth variety and $Y\subset X$ a closed subscheme. We use motivic integration on the space of arcs of $X$ to characterize the fact that $(X,Y)$ is log canonical or log terminal using the dimension of the jet schemes of $Y$. This gives a formula for the log canonical threshold of $(X,Y)$, which we use to prove a result of Demailly and Kollár on the semicontinuity of log canonical thresholds.
DOI : 10.1090/S0894-0347-02-00391-0

Mustaţǎ, Mircea 1, 2

1 Department of Mathematics, University of California, Berkeley, California 94720 – and – Institute of Mathematics of the Romanian Academy
2 Clay Mathematics Institute, 1770 Massachusetts Avenue, No. 331, Cambridge, Massachusetts 02140 
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Mustaţǎ, Mircea. Singularities of pairs via jet schemes. Journal of the American Mathematical Society, Tome 15 (2002) no. 3, pp. 599-615. doi: 10.1090/S0894-0347-02-00391-0

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