Algebras of curvature forms on homogeneous manifolds
| dc.creator | Postnikov, Alexander | |
| dc.creator | Shapiro, Boris | |
| dc.creator | Shapiro, Mikhail | |
| dc.date | 1999-01-19 | |
| dc.date.accessioned | 2026-07-07T05:27:35Z | |
| dc.date.available | 2026-07-07T05:27:35Z | |
| dc.description | Let C(X) be the algebra generated by the curvature 2-forms of the standard hermitian line bundles over the complex homogeneous manifold X=G/B. We calculate the Hilbert polynomial of C(X) and give its presentation as a quotient of a polynomial ring. In particular, we show the dimension of C(X) is equal to the number of independent subsets of roots in the corresponding root system. As a tool we study a more general algebra associated with a point on a Grassmannian and calculate its Hilbert polynomial as well as its presentation in terms of generators and relations. | |
| dc.description | 8 pages, LATEX, no figures, also available at http://www.matematik.su.se/users/shapiro | |
| dc.identifier | https://arxiv.org/abs/math/9901075 | |
| dc.identifier | http://arxiv.org/abs/math/9901075 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77970 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Algebras of curvature forms on homogeneous manifolds | |
| dc.type | text |