Global $\bar\partial_{\bold M}$-homotopy with $C^k$ estimates for a family of compact, regular q-pseudoconcave CR manifolds

Details Global $\bar\partial_{\bold M}$-homotopy with $C^k$ estimates for a family of compact, regular q-pseudoconcave CR manifolds Global $\bar\partial_{\bold M}$-homotopy with $C^k$ estimates for a family of compact, regular q-pseudoconcave CR manifolds

2001-09-23

arxiv.org/abs/math/0109180v2

Mathematics

Complex Variables

39 pages

Scientific paper

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

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