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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https://doi.org/10.1007/978-3-642-65889-1Jet bundles and logarithmic 1-forms play an important role in the study of the value distribution of meromorphic mappings into algebraic varieties (cf. [01] [G-G1] and [N1∿41). On the other hand, logarithmic vector fields as well as logarithmic 1-forms have been used in the study of Gauss-Manin connection and singularities (cf. [S1]).

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Gastric Acid Secretory MechanismsIn 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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Compensation of Vestibular LesionsThis paper is a survey of recent developments in the theory of the extension of analytic sets and closed, positive currents.

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The Heat Equation for the ,-Neumann Problem on Strictly Pseudoconvex Domains,The heat equation for the .-Neumann problem on strictly pseudoconvex domains is a complex analogue of a classical problem in Riemannian geometry. In this section, we will describe some of the classical Riemannian results. To keep things simple, we will only talk about domains.

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,Complete Kähler Domains. A Survey of Some Recent Results,One of the major aspects of complex analysis consists in the investigation of the implications between geometric properties of complex analytic manifolds (or complex spaces) and the nature of certain complex analytic objects on them.

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On the Minimality of Hyperplane Sections of Gorenstein Threefolds,Let X be a normal irreducible three dimensional projective variety whose local rings are Cohen Macaulay and whose dualizing sheaf, K. is invertible (see §0 for more details). We will call such a variety a Gorenstein threefold throughout this article.

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On Meromorphic Equivalence Relations,We denote by X a weakly normal (see § 2.3.) complex space with countable topology and by R ⊂ X × X an analytic set with the following two properties:

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