Core versus graded core and global sections of line bundles
| dc.creator | Hyry, Eero | |
| dc.creator | Smith, Karen E. | |
| dc.date | 2003-01-17 | |
| dc.date | 2003-04-21 | |
| dc.date.accessioned | 2026-07-07T04:54:31Z | |
| dc.date.available | 2026-07-07T04:54:31Z | |
| dc.description | We find formulas for the graded core of certain m-primary ideals in a graded ring. In particular, if S is the section ring of an ample line bundle on a Cohen-Macaulay complex projective variety, we show that under suitable hypothesis, the core and graded core of the ideal of S generated by all elements of degrees at least N (for some, equivalently every, large N) are equal if and only if the line bundle admits a non-zero global section. We also prove a formula for the graded core of the powers of the unique homogeneous maximal ideal in a standard graded Cohen-Macaulay ring of arbitrary characteristic. Several open problems are posed whose solutions would lead to progress on a non-vanishing conjecture of Kawamata. | |
| dc.description | 23 pages, latex, final version, to appear in Transactions of AMS | |
| dc.identifier | https://arxiv.org/abs/math/0301190 | |
| dc.identifier | http://arxiv.org/abs/math/0301190 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66280 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 13C99, 14E99 | |
| dc.title | Core versus graded core and global sections of line bundles | |
| dc.type | text |