Estimated transversality and rational maps
| dc.creator | Sena-Dias, R. | |
| dc.date | 2005-11-29 | |
| dc.date | 2006-01-30 | |
| dc.date.accessioned | 2026-07-07T06:51:53Z | |
| dc.date.available | 2026-07-07T06:51:53Z | |
| dc.description | In this paper, we address a question of Donaldson's on the best estimate that can be achieved for the transversality of an asymptotically holomorphic sequence of sections of increasing powers of a line bundle over an integral symplectic manifold. More specifically, we find an upper bound for the transversality of n such sequences of sections over a 2n-dimensional symplectic manifold. In the simplest case of S^2, we also relate the problem to a well known question in potential theory (namely, that of finding logarithmic equilibrium points), thus establishing an experimental lower bound for the transversality. | |
| dc.description | 40 pages, submitted, typos corrected and minor expository changes | |
| dc.identifier | https://arxiv.org/abs/math/0511716 | |
| dc.identifier | http://arxiv.org/abs/math/0511716 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/105134 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | Differential Geometry | |
| dc.subject | 53D05 (Primary) 53C20, 53C55 (Secondary) | |
| dc.title | Estimated transversality and rational maps | |
| dc.type | text |