Singularities of Pairs via Jet Schemes
| dc.creator | Mustata, Mircea | |
| dc.date | 2001-02-26 | |
| dc.date.accessioned | 2026-07-07T04:40:22Z | |
| dc.date.available | 2026-07-07T04:40:22Z | |
| dc.description | Let X be a smooth variety and Y a closed subscheme of X. By comparing motivic integrals on X and on a log resolution of (X,Y), we prove the following formula for the log canonical threshold of (X,Y): c(X,Y)=dim X-sup_m{(dim Y_m}/(m+1)}, where Y_m is the mth jet scheme of Y. We show how this formula can be used to study the log canonical threshold. In particular, we give a proof of the Semicontinuity theorem of Demailly and Kollár. | |
| dc.description | 21 pages; LaTeX | |
| dc.identifier | https://arxiv.org/abs/math/0102201 | |
| dc.identifier | http://arxiv.org/abs/math/0102201 | |
| dc.identifier | J. Amer. Math. Soc. 15 (2002), 599-615. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61004 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14B05 (Primary); 14E15 (Secondary) | |
| dc.title | Singularities of Pairs via Jet Schemes | |
| dc.type | text |