Group action on instanton bundles over $\PP^3$
| dc.creator | Costa, Laura | |
| dc.creator | Ottaviani, Giorgio | |
| dc.date | 2001-03-13 | |
| dc.date.accessioned | 2026-07-07T04:40:36Z | |
| dc.date.available | 2026-07-07T04:40:36Z | |
| dc.description | Denote by MI(k) the moduli space of k-instanton bundles E of rank 2 on $\PP^3=\PP(V)$ and by $Z_k(E)$ the scheme of k-jumping lines. We prove that $[E]\in MI(k)$ is not stable for the action of SL(V) if $Z_k(E)\neq\emptyset$. Moreover $\dim Sym(E)\ge 1$ if $length Z_k(E)\ge 2$. We prove also that E is special if and only if $Z_k(E)$ is a smooth conic. The action of SL(V) on the moduli of special instanton bundles is studied in detail. | |
| dc.description | 24 pages | |
| dc.identifier | https://arxiv.org/abs/math/0103076 | |
| dc.identifier | http://arxiv.org/abs/math/0103076 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61080 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J60; 14L30; 14F05 | |
| dc.title | Group action on instanton bundles over $\PP^3$ | |
| dc.type | text |