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arXiv · 2001.11047

Classification of holomorphic Pfaff systems on Hopf manifolds

Maurício Corrêa·Antonio M. Ferreira·Misha Verbitsky
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Abstract

We classify holomorphic Pfaff systems (possibly non locally decomposable) on certain Hopf manifolds. As consequence, we prove some integrability results. We also prove that any holomorphic distribution on a general (non-resonance) Hopf manifold is integrable.

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Maurício Corrêa, Antonio M. Ferreira, Misha Verbitsky. 2020-01-29. Classification of holomorphic Pfaff systems on Hopf manifolds. https://doi.org/10.1007/s40879-020-00445-6

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