A vanishing theorem for finitely supported ideals in regular local rings
| dc.creator | Lipman, Joseph | |
| dc.date | 2007-02-04 | |
| dc.date | 2007-03-08 | |
| dc.date.accessioned | 2026-07-07T07:50:38Z | |
| dc.date.available | 2026-07-07T07:50:38Z | |
| dc.description | A cohomological vanishing property is proved for finitely supported ideals in an arbitrary d-dimensional regular local ring. (Such vanishing implies some refined Briancon-Skoda-type results, not otherwise known in mixed characteristic.) It follows that the adjoint of a finitely supported ideal I of order a has order sup(a+1-d, 0), and that taking adjoints of finitely supported ideals commutes with taking strict transforms at infinitely near points. In particular, the adjoint of I is also finitely supported. Also: if this I is a normal ideal, then its reduction number is the least integer > d(1-1/a). | |
| dc.description | 12 pages. Main results and proofs similar to previous version, but with numerous enhancements | |
| dc.identifier | https://arxiv.org/abs/math/0702082 | |
| dc.identifier | http://arxiv.org/abs/math/0702082 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/125229 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 13H05; 13C99; 14F17 | |
| dc.title | A vanishing theorem for finitely supported ideals in regular local rings | |
| dc.type | text |