Initial ideals, Veronese subrings, and rates of algebras
| dc.creator | Eisenbud, David | |
| dc.creator | Reeves, Alyson | |
| dc.creator | Totaro, Burt | |
| dc.date | 1993-10-11 | |
| dc.date.accessioned | 2026-07-07T09:05:55Z | |
| dc.date.available | 2026-07-07T09:05:55Z | |
| dc.description | We show that high Veronese subrings of any commutative graded ring have a Grobner basis with all relations of degree 2. (The d-th Veronese subring of a ring A_0 + A_1 + A_2 + ... is the ring A_0 + A_d + A_{2d} + ...; ``high'' means we take d sufficiently large, say at least half the regularity of the ideal defining the original ring.) This gives another proof of Backelin's theorem that such Veronese subrings are Koszul algebras (= wonderful rings), i.e., that the minimal resolution of the residue field of such a ring is linear. | |
| dc.description | 24 pages, latex file | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9310007 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9310007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149843 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Commutative Algebra | |
| dc.title | Initial ideals, Veronese subrings, and rates of algebras | |
| dc.type | text |