Trianalytic subvarieties of generalized Kummer varieties
| dc.creator | Kaledin, D. | |
| dc.creator | Verbitsky, M. | |
| dc.date | 1998-01-09 | |
| dc.date.accessioned | 2026-07-07T05:23:32Z | |
| dc.date.available | 2026-07-07T05:23:32Z | |
| dc.description | Let $X$ be a hyperkaehler manifold. Trianalytic subvarieties of $X$ are subvarieties which are complex analytic with respect to all complex structures induced by the hyperkaehler structure. Given a 2-dimensional complex torus $T$, the Hilbert scheme $T^{[n]}$ classifying zero-dimensional subschemes of $T$ admits a hyperkaehler structure. A finite cover of $T^{[n]}$ is a product of $T$ and a simply connected hyperkaehler manifold $K^{[n-1]}$, called generalized Kummer variety. We show that for $T$ generic, the corresponding generalized Kummer variety has no trianalytic subvarieties. This implies that a generic deformation of the generalized Kummer variety has no proper complex subvarieties. | |
| dc.description | 22 pages, LaTeX 2e | |
| dc.identifier | https://arxiv.org/abs/math/9801038 | |
| dc.identifier | http://arxiv.org/abs/math/9801038 | |
| dc.identifier | Internat. Math. Res. Notices 1998, no. 9, 439--461 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76474 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Complex Variables | |
| dc.subject | Differential Geometry | |
| dc.title | Trianalytic subvarieties of generalized Kummer varieties | |
| dc.type | text |