The Valuative Theory of Foliations

Simple item page
dc.creatorAyuso, Pedro Fortuny
dc.date2001-03-20
dc.date.accessioned2026-07-07T04:40:41Z
dc.date.available2026-07-07T04:40:41Z
dc.descriptionWe describe the valuations following infinitely near singular points of a (singular) holomorphic foliation in the complex plane. They appear to be those satisfying a generalization of L'Hopital's rule. With them, we characterize dicritical vector fields, generic simple singularities, the existence of non- convergent solutions, etc. The construction is generalizable to dimension n.
dc.description16 pages, uses package: diagram.tex
dc.identifierhttps://arxiv.org/abs/math/0103123
dc.identifierhttp://arxiv.org/abs/math/0103123
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61110
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subject13A18; 32S65
dc.titleThe Valuative Theory of Foliations
dc.typetext

Files

Collections

arXiv