Global $\bar\partial_{\bold M}$-homotopy with $C^k$ estimates for a family of compact, regular q-pseudoconcave CR manifolds
| dc.creator | Polyakov, Peter | |
| dc.date | 2001-09-23 | |
| dc.date | 2003-09-19 | |
| dc.date.accessioned | 2026-07-07T04:43:31Z | |
| dc.date.available | 2026-07-07T04:43:31Z | |
| dc.description | Let ${\bold M}_0$ be a compact, regular q-pseudoconcave compact CR submanifold of a complex manifold ${\bold G}$ and ${\cal B}$ - a holomorphic vector bundle on ${\bold G}$ such that $\dim H^r({\bold M}_0, {\cal B}\big|_{\bold M})=0$ for some fixed $r<q$. We prove a global homotopy formula with $C^k$ estimates for $r$-cohomology of ${\cal B}$ on arbitrary CR submanifold ${\bold M}$ close enough to ${\bold M}_0$. | |
| dc.description | 39 pages | |
| dc.identifier | https://arxiv.org/abs/math/0109180 | |
| dc.identifier | http://arxiv.org/abs/math/0109180 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62254 | |
| dc.subject | Complex Variables | |
| dc.subject | 32F20; 32F10 | |
| dc.title | Global $\bar\partial_{\bold M}$-homotopy with $C^k$ estimates for a family of compact, regular q-pseudoconcave CR manifolds | |
| dc.type | text |