منابع مشابه
Deformations of Holomorphic Poisson Manifolds
An unobstructedness theorem is proved for deformations of compact holomorphic Poisson manifolds and applied to a class of examples. These include certain rational surfaces and Hilbert schemes of points on Poisson surfaces. We study in particular the Hilbert schemes of the projective plane and show that a generic deformation is determined by two parameters—an elliptic curve and a translation on ...
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Let X → Pn be a 2n-dimensional projective holomorphic symplectic manifold admitting a Lagrangian fibration over Pn. Matsushita proved that the fibration can be deformed in a codimension one family in the moduli space Def(X) of deformations of X. We extend his result by proving that if the Lagrangian fibration admits a section, then there is a codimension two family of deformations which also pr...
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In §3, we consider the existence of holomorphic maps with a given rank on complex spaces countable at infinity. We use the method given here to make a remark on an imbedding theorem for holomorphically complete spaces due to R. Remmert [4]. The author is indebted to Professor H. Cartan for his suggestions and for pointing out that the space of holomorphic functions is complete even for non-norm...
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Let X be a complex Banach space, a norming set for X , and D ⊂ X a bounded, closed, and convex domain such that its norm closure D is compact in σ(X , ). Let ∅ = C ⊂D lie strictly inside D. We study convergence properties of infinite products of those selfmappings of C which can be extended to holomorphic self-mappings of D. Endowing the space of sequences of such mappings with an appropriate m...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 1964
ISSN: 0019-2082
DOI: 10.1215/ijm/1256067462