A Fourier-Mukai Transform for Stable Bundles on K3 Surfaces
| dc.creator | Bartocci, C. | |
| dc.creator | Bruzzo, U. | |
| dc.creator | Ruiperez, D. Hernandez | |
| dc.date | 1994-05-13 | |
| dc.date | 1996-08-05 | |
| dc.date.accessioned | 2026-07-07T08:57:51Z | |
| dc.date.available | 2026-07-07T08:57:51Z | |
| dc.description | We define a Fourier-Mukai transform for sheaves on K3 surfaces over $\C$, and show that it maps polystable bundles to polystable ones. The role of ``dual'' variety to the given K3 surface $X$ is here played by a suitable component $\hat X$ of the moduli space of stable sheaves on $X$. For a wide class of K3 surfaces $\hat X$ can be chosen to be isomorphic to $X$; then the Fourier-Mukai transform is invertible, and the image of a zero-degree stable bundle $F$ is stable and has the same Euler characteristic as $F$. | |
| dc.description | Revised version, 15 pages AMSTeX with AMSppt.sty v. 2.1b | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9405006 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9405006 | |
| dc.identifier | J. reine angew. Math. 486 (1997) 1-16 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/147097 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14F05 (Primary), 32L07, 32L25, 58D27 (Secondary) | |
| dc.title | A Fourier-Mukai Transform for Stable Bundles on K3 Surfaces | |
| dc.type | text |