On a lower bound for the dimension of non-abelian theta functions of positive genus
| dc.creator | Boysal, Arzu | |
| dc.date | 2006-12-01 | |
| dc.date.accessioned | 2026-07-07T07:33:34Z | |
| dc.date.available | 2026-07-07T07:33:34Z | |
| dc.description | In this paper we study the sections of the canonical line bundle on the moduli space of parabolic semistable vector bundles with trivial determinant and fixed parabolic structure of type $\underlineλ=(λ_1,..., λ_s)$ (with each weight $λ_i$ in $P_{\ell}(\SL(r))$) on a smooth projective irreducible curve over $\C$ of genus $g \geq 1$. We give a nontrivial lower bound for the dimension of the sections (that are called generalized parabolic SL(r)-theta functions) when $\sum_{1}^{s} λ_i$ is in the root lattice. | |
| dc.description | 11 pages | |
| dc.identifier | https://arxiv.org/abs/math/0612022 | |
| dc.identifier | http://arxiv.org/abs/math/0612022 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/119500 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Representation Theory | |
| dc.subject | 14H60; 22E65 | |
| dc.title | On a lower bound for the dimension of non-abelian theta functions of positive genus | |
| dc.type | text |