A Simple Characterization of Du Bois Singularities
| dc.creator | Schwede, Karl | |
| dc.date | 2009-03-24 | |
| dc.date.accessioned | 2026-07-07T12:56:08Z | |
| dc.date.available | 2026-07-07T12:56:08Z | |
| dc.description | We prove the following theorem characterizing Du Bois singularities. Suppose that $Y$ is smooth and that $X$ is a reduced closed subscheme. Let $π: \tld Y \to Y$ be a log resolution of $X$ in $Y$ that is an isomorphism outside of $X$. If $E$ is the reduced pre-image of $X$ in $\tld Y$, then $X$ has Du Bois singularities if and only if the natural map $Ø_X \to R π_* Ø_E$ is a quasi-isomorphism. We also deduce Kollár's conjecture that log canonical singularities are Du Bois in the special case of a local complete intersection and prove other results related to adjunction. | |
| dc.description | 17 pages; the final version appeared in Compositio Mathematica in 2007, http://www.journals.cambridge.org/action/displayAbstract;jsessionid=87324D164BF30982691FD683E4B588BC.tomcat1?fromPage=online&aid=1207968 | |
| dc.identifier | https://arxiv.org/abs/0903.4125 | |
| dc.identifier | http://arxiv.org/abs/0903.4125 | |
| dc.identifier | Compos. Math. 143 (2007), no. 4, 813--828 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/224482 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Commutative Algebra | |
| dc.subject | 14B05 | |
| dc.title | A Simple Characterization of Du Bois Singularities | |
| dc.type | text |