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Displaying similar documents to “Some properties of positive line bundles on 1-convex complex analytic spaces”

On complete intersections

Franc Forstnerič (2001)

Annales de l’institut Fourier

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We construct closed complex submanifolds of n which are differential but not holomorphic complete intersections. We also prove a homotopy principle concerning the removal of intersections with certain complex subvarieties of n .

Remarks on strongly Wright-convex functions

Nelson Merentes, Kazimierz Nikodem, Sergio Rivas (2011)

Annales Polonici Mathematici

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Some properties of strongly Wright-convex functions are presented. In particular it is shown that a function f:D → ℝ, where D is an open convex subset of an inner product space X, is strongly Wright-convex with modulus c if and only if it can be represented in the form f(x) = g(x)+a(x)+c||x||², x ∈ D, where g:D → ℝ is a convex function and a:X → ℝ is an additive function. A characterization of inner product spaces by strongly Wright-convex functions is also given.

Real algebraic spaces

Andrew John Sommese (1977)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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