Lagrangian Subbundles and Codimension 3 Subcanonical Subscheme

Simple item page
dc.creatorEisenbud, David
dc.creatorPopescu, Sorin
dc.creatorWalter, Charles
dc.date1999-06-25
dc.date2000-06-25
dc.date.accessioned2026-07-07T05:29:39Z
dc.date.available2026-07-07T05:29:39Z
dc.descriptionWe show that a Gorenstein subcanonical codimension 3 subscheme Z in X = P^N, N > 3, can be realized as the locus along which two Lagrangian subbundles of a twisted orthogonal bundle meet degenerately, and conversely. We extend this result to singular Z and all quasiprojective ambient schemes X under the necessary hypothesis that $Z$ is strongly subcanonical in a sense defined below. A central point is that a pair of Lagrangian subbundles can be transformed locally into an alternating map. In the local case our structure theorem reduces to that of Buchsbaum-Eisenbud and says that Z is Pfaffian. We also prove codimension one symmetric and skew-symmetric analogues of our structure theorems.
dc.descriptionAMS-LaTeX, diagrams.sty, 35 pages, minor revisions
dc.identifierhttps://arxiv.org/abs/math/9906170
dc.identifierhttp://arxiv.org/abs/math/9906170
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78720
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subject14M07, 13D02, 14M12, 14F05
dc.titleLagrangian Subbundles and Codimension 3 Subcanonical Subscheme
dc.typetext

Files

Collections

arXiv