dc.contributor.author | Choe, Insong | |
dc.contributor.author | Hitching, George Harry | |
dc.date.accessioned | 2016-12-07T14:17:28Z | |
dc.date.accessioned | 2017-04-07T11:59:36Z | |
dc.date.available | 2016-12-07T14:17:28Z | |
dc.date.available | 2017-04-07T11:59:36Z | |
dc.date.issued | 2016-06-08 | |
dc.identifier.citation | International Journal of Mathematics 2016, 27(7) | language |
dc.identifier.issn | 0129-167X | |
dc.identifier.uri | https://hdl.handle.net/10642/4762 | |
dc.description.abstract | Let Gr(2, E) be the Grassmann bundle of two-planes associated to a general bundle E over a curve X. We prove that an embedding of Gr(2, E) by a certain twist of the relative Plücker map is not secant defective. This yields a new and more geometric proof of the Hirschowitz-type bound on the Lagrangian Segre invariant for orthogonal bundles over X, analogous to those given for vector bundles and symplectic bundles in [I. Choe and G. H. Hitching, Secant varieties and Hirschowitz bound on vector bundles over a curve, Manuscripta Math. 133 (2010) 465–477] and [I. Choe and G. H. Hitching, Lagrangian sub-bundles of symplectic vector bundles over a curve, Math. Proc. Cambridge Phil. Soc. 153 (2012) 193–214]. From the non-defectivity we also deduce an interesting feature of a general orthogonal bundle over X, contrasting with the classical and symplectic cases: Any maximal Lagrangian subbundle intersects at least one other maximal Lagrangian subbundle in positive rank. | language |
dc.language.iso | en | language |
dc.publisher | World Scientific Publishing | language |
dc.rights | Postprint version of published article | language |
dc.title | Non-defectivity of Grassmann bundles over a curve | language |
dc.type | Peer reviewed | language |
dc.type | Journal article | |
dc.date.updated | 2016-12-07T14:17:28Z | |
dc.description.version | acceptedVersion | language |
dc.identifier.doi | http://dx.doi.org/10.1142/S0129167X16400024 | |
dc.identifier.cristin | 1409678 | |