Spectral Curves for Almost-Complex Tori in $ S ^6 $

Simple item page
dc.creatorCarberry, Emma
dc.creatorWang, Erxiao
dc.date2008-05-24
dc.date.accessioned2026-07-07T09:40:48Z
dc.date.available2026-07-07T09:40:48Z
dc.descriptionTo each non-isotropic almost-complex immersion of a 2-torus into $ S ^ 6 $ we associate an algebraic curve, called the spectral curve, and a linear flow in the intersection of two Prym varieties on this spectral curve. We show that generically the spectral curve is smooth and compute the dimension of the moduli space of such curves and of the torus in which the eigenline bundles lie.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/0805.3732
dc.identifierhttp://arxiv.org/abs/0805.3732
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161603
dc.subjectAlgebraic Geometry
dc.subjectDifferential Geometry
dc.subject14H70 (Primary) 53C42 (Secondary)
dc.titleSpectral Curves for Almost-Complex Tori in $ S ^6 $
dc.typetext

Files

Collections

arXiv