Mixed ladder determinantal varieties from two-sided ladders
| dc.creator | Gorla, Elisa | |
| dc.date | 2005-10-25 | |
| dc.date | 2006-04-21 | |
| dc.date.accessioned | 2026-07-07T06:47:52Z | |
| dc.date.available | 2026-07-07T06:47:52Z | |
| dc.description | We study the family of ideals defined by mixed size minors of two-sided ladders of indeterminates. We compute their Groebner bases with respect to a skew-diagonal monomial order, then we use them to compute the height of the ideals. We show that these ideals correspond to a family of irreducible projective varieties, that we call mixed ladder determinantal varieties. We show that these varieties are arithmetically Cohen-Macaulay. We characterize the arithmetically Gorenstein ones, among those that satisfy a technical condition. Our main result consists in proving that mixed ladder determinantal varieties belong to the same G-biliaison class of a linear variety. | |
| dc.description | 15 pages, contains an improved version of Theorem 1.25 (now 1.23) | |
| dc.identifier | https://arxiv.org/abs/math/0510529 | |
| dc.identifier | http://arxiv.org/abs/math/0510529 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/103800 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14M06, 13C40, 14M12 | |
| dc.title | Mixed ladder determinantal varieties from two-sided ladders | |
| dc.type | text |