Hyperelliptic surfaces are Loewner

Simple item page
dc.creatorKatz, Mikhail G.
dc.creatorSabourau, Stephane
dc.date2004-07-01
dc.date2004-12-16
dc.date.accessioned2026-07-07T05:09:52Z
dc.date.available2026-07-07T05:09:52Z
dc.descriptionWe prove that C. Loewner's inequality for the torus is satisfied by all hyperelliptic surfaces X, as well. We first construct the Loewner loops on the (mildly singular) companion tori, locally isometric to X away from the Weierstrass points. The loops are then transplanted to X, and surgered to obtain a Loewner loop on X. In higher genus, we exploit M. Gromov's area estimates for epsilon-regular metrics on X.
dc.description9 pages. Proceedings Amer. Math. Soc., to appear
dc.identifierhttps://arxiv.org/abs/math/0407009
dc.identifierhttp://arxiv.org/abs/math/0407009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71748
dc.subjectDifferential Geometry
dc.subjectAlgebraic Geometry
dc.subjectComplex Variables
dc.subject53C23
dc.titleHyperelliptic surfaces are Loewner
dc.typetext

Files

Collections

arXiv