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arxiv: 1501.00842 · v1 · pith:HC66WXYZnew · submitted 2015-01-05 · 🧮 math.CV · math.AP· math.DG

Obstructions to finite dimensional cohomology of abstract Cauchy-Riemann complexes

classification 🧮 math.CV math.APmath.DG
keywords abstractcohomologyarbitrarycauchy-riemanncertaincodimensioncompactcomplexes
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Let $M$ be a compact abstract $CR$ manifold of arbitrary $CR$ codimension. Under certain conditions on the Levi form we prove the infinite dimensionality of some global cohomology groups of $M$.

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