On the discriminant locus of a Lagrangian fibration
| dc.creator | Sawon, Justin | |
| dc.date | 2006-07-21 | |
| dc.date.accessioned | 2026-07-07T12:59:45Z | |
| dc.date.available | 2026-07-07T12:59:45Z | |
| dc.description | Let $X\to¶^n$ be an irreducible holomorphic symplectic manifold of dimension $2n$ fibred over $¶^n$. Matsushita proved that the generic fibre is a holomorphic Lagrangian abelian variety. In this article we study the discriminant locus $Δ\subset¶^n$ parametrizing singular fibres. Our main result is a formula for the degree of $Δ$, leading to bounds on the degree when $X$ is a four-fold. | |
| dc.description | 17 pages | |
| dc.identifier | https://arxiv.org/abs/math/0607558 | |
| dc.identifier | http://arxiv.org/abs/math/0607558 | |
| dc.identifier | Math. Ann. 341 (2008), no. 1, 201-221 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/225669 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 53C26; 14D06 | |
| dc.title | On the discriminant locus of a Lagrangian fibration | |
| dc.type | text |