Deformations of holomorphic Lagrangian fibrations
| dc.creator | Sawon, Justin | |
| dc.date | 2005-09-09 | |
| dc.date.accessioned | 2026-07-07T12:59:44Z | |
| dc.date.available | 2026-07-07T12:59:44Z | |
| dc.description | Let $X\to¶^n$ be a $2n$-dimensional projective holomorphic symplectic manifold admitting a Lagrangian fibration over $¶^n$. Matsushita proved that the fibration can be deformed in a codimension one family in the moduli space $\mathrm{Def}(X)$ of deformations of $X$. We extend his result by proving that if the Lagrangian fibration admits a section, then there is a codimension two family of deformations which also preserve the section. | |
| dc.description | 9 pages | |
| dc.identifier | https://arxiv.org/abs/math/0509223 | |
| dc.identifier | http://arxiv.org/abs/math/0509223 | |
| dc.identifier | Proc. Amer. Math. Soc. 137 (2009), no. 1, 279-285 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/225663 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 53C26; 14D06; 14J60 | |
| dc.title | Deformations of holomorphic Lagrangian fibrations | |
| dc.type | text |