Bounds on leaves of one-dimensional foliations
| dc.creator | Esteves, E. | |
| dc.creator | Kleiman, S. | |
| dc.date | 2002-09-11 | |
| dc.date.accessioned | 2026-07-07T04:50:44Z | |
| dc.date.available | 2026-07-07T04:50:44Z | |
| dc.description | Let X be a variety over an algebraically closed field, η:Ω^1_X\to L a one-dimensional singular foliation, and C\subseteq X a projective leaf of η. We prove that 2p_a(C)-2=°(L|C)+λ(C)-°(C\cap S) where p_a(C) is the arithmetic genus, where λ(C) is the colength in the dualizing sheaf of the subsheaf generated by the Kähler differentials, and where S is the singular locus of η. We bound λ(C) and °(C\cap S), and then improve and extend some recent results of Campillo, Carnicer, and de la Fuente, and of du Plessis and Wall. | |
| dc.description | 18 pages, AMSLaTeX | |
| dc.identifier | https://arxiv.org/abs/math/0209113 | |
| dc.identifier | http://arxiv.org/abs/math/0209113 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64901 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Dynamical Systems | |
| dc.subject | 37F75 (primary), 14H50, 32S65, 14H20 (secondary) | |
| dc.title | Bounds on leaves of one-dimensional foliations | |
| dc.type | text |