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On q-Convex Exhaustion Functions of Complements of CR-Submanifolds

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Part of the book series: Aspects of Mathematics ((ASMA,volume 1))

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Abstract

If M is a CR-submanifold of a complex manifold X and pM, we establish upper and lower estimates for v(p; M):= minqM is locally q-complete at p. The estimates are optimal in each of the following cases: M generic, M real-analytic, M maximally complex foliated.

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Bibliography

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© 1991 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig

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Schwarz, W. (1991). On q-Convex Exhaustion Functions of Complements of CR-Submanifolds. In: Diederich, K. (eds) Complex Analysis. Aspects of Mathematics, vol 1. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-86856-5_39

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  • DOI: https://doi.org/10.1007/978-3-322-86856-5_39

  • Publisher Name: Vieweg+Teubner Verlag

  • Print ISBN: 978-3-322-86858-9

  • Online ISBN: 978-3-322-86856-5

  • eBook Packages: Springer Book Archive

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