Geometric interplay between function subspaces and their rings of differential operators
| dc.creator | Bögvad, Rikard | |
| dc.creator | Källström, Rolf | |
| dc.date | 2004-03-24 | |
| dc.date.accessioned | 2026-07-07T05:06:42Z | |
| dc.date.available | 2026-07-07T05:06:42Z | |
| dc.description | We study, in the setting of algebraic varieties, finite-dimensional spaces of functions V that are invariant under a ring D^V of differential operators, and give conditions under which D^V acts irreducibly. We show how this problem, originally formulated in physics (Kamran-Milson-Olver), is related to the study of principal parts bundles and Weierstrass points (Laksov-Thorup), including a detailed study of Taylor expansions. Under some conditions it is possible to obtain V and D^V as global sections of a line bundle and its ring of differential operators. We show that several of the published examples of D^V are of this type, and that there are many more -- in particular arising from toric varieties. | |
| dc.description | 36 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/math/0403409 | |
| dc.identifier | http://arxiv.org/abs/math/0403409 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70573 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Representation Theory | |
| dc.title | Geometric interplay between function subspaces and their rings of differential operators | |
| dc.type | text |