Titlebook: Contributions to Several Complex Variables; In Honour of Wilhelm Alan Howard (Professors),Pit-Mann Wong (Professors Book 1986 Springer Fach

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Remarks on the Nakano Vanishing Theorem,In this note we give a numerical version of k-ampleness for line bundles (Definition 1) and prove a vanishing theorem (Theorem 2) of Nakano type for these bundles. This vanishing theorem yields a Lefschetz-type theorem (Theorem 3). We begin by reviewing the Nakai-Moishezon-Kleiman criterion for ampleness on which our numerical condition is based.

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Extension Problems and Positive Currents in Complex Analysis,This paper is a survey of recent developments in the theory of the extension of analytic sets and closed, positive currents.

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Recent Developments in Homogeneous CR-Hypersurfaces,fits into a fine classification, details of its function theory, etc., one should use as much Lie theoretic information about Ĝ as is possible. In particular it is often useful to study the orbit structure of real subgroups of Ĝ. Such orbits are usually not complex sub-manifolds of X.

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https://doi.org/10.1007/978-3-663-06816-7Complex analysis; Manifold; Meromorphic function; Pseudoconvexity; arithmetic; calculus; equation; function

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978-3-528-08964-1Springer Fachmedien Wiesbaden 1986

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Arithmetic Hilbert Modular Functions Ill,gruence Eisenstein series. The main results are generalizations of the main results of Hecke’s thesis [10]. They are also subsumed in more far-reaching results of Shimura and Taniyama [15,13,14]. But our methods are quite different from the latter’s and stem directly from Hecke’s original ideas.

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