Pseudo-holomorphic curves and envelopes of meromorphy of two-spheres in $CP^2$
| dc.creator | Ivashkovich, Sergei | |
| dc.creator | Shevchishin, Vsevolod | |
| dc.date | 1998-04-03 | |
| dc.date.accessioned | 2026-07-07T05:24:18Z | |
| dc.date.available | 2026-07-07T05:24:18Z | |
| dc.description | We prove that the envelope of meromorphy of any imbedded symplectic sphere in $CP^2$ coincides with the whole $CP^2$. As a tool for the proof we use the Gromov theory of pseudo-holomorphic curves. Several results in this subject, such as adjunction formula, smoothness of moduli space in the neighborhood of a cusp-curve are improved. We introduce a natural holomorphic structure on the pulled back tangent bundle, in which the differential of a ps.-hol. map in an analytic morphism and describe cusps of ps.-hol. curves using Bennequin index. | |
| dc.identifier | https://arxiv.org/abs/math/9804014 | |
| dc.identifier | http://arxiv.org/abs/math/9804014 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76784 | |
| dc.subject | Complex Variables | |
| dc.subject | Differential Geometry | |
| dc.subject | Symplectic Geometry | |
| dc.subject | 32D10; 58F05 | |
| dc.title | Pseudo-holomorphic curves and envelopes of meromorphy of two-spheres in $CP^2$ | |
| dc.type | text |