Monodromy of a Class of Logarithmic Connections on an Elliptic Curve

Simple item page
dc.creatorMachu, Francois-Xavier
dc.date2007-08-16
dc.date.accessioned2026-07-07T09:34:09Z
dc.date.available2026-07-07T09:34:09Z
dc.descriptionThe logarithmic connections studied in the paper are direct images of regular connections on line bundles over genus-2 double covers of the elliptic curve. We give an explicit parametrization of all such connections, determine their monodromy, differential Galois group and the underlying rank-2 vector bundle. The latter is described in terms of elementary transforms. The question of its (semi)-stability is addressed.
dc.descriptionPublished in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
dc.identifierhttps://arxiv.org/abs/0708.2186
dc.identifierhttp://arxiv.org/abs/0708.2186
dc.identifierSIGMA 3 (2007), 082, 31 pages
dc.identifierdoi:10.3842/SIGMA.2007.082
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159388
dc.subjectAlgebraic Geometry
dc.subjectMathematical Physics
dc.titleMonodromy of a Class of Logarithmic Connections on an Elliptic Curve
dc.typetext

Files

Collections

arXiv