منابع مشابه
Tangencies between holomorphic maps and holomorphic laminations
We prove that the set of leaves of a holomorphic lamination of codimension one that are tangent to a germ of a holomorphic map is discrete. Let F be a holomorphic lamination of codimension one in an open set V in a complex Banach space B. In this paper, this means that V = W × C, where W is a neighborhood of the origin in some Banach space, and the leaves Lλ of the lamination are disjoint graph...
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A theorem of A. Ostrowski describing meromorphic functions f such that the family {f(λz) : λ ∈ C} is normal, is generalized to holomorphic maps from C∗ to a projective space. Let f : C → P be a holomorphic curve and (1) F = (g0, g1, . . . , gn) some homogeneous representation of f . This means that gj are analytic functions in C without common zeros. When n = 1, we have P = C, and f can be iden...
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Let Hn and HN denote the complexifications of Heisenberg hypersurfaces in Cn and CN , respectively. We show that non-degenerate holomorphic Segre mappings from Hn into HN with N ≤ 2n− 2 possess a partial rigidity property. As an application, we prove that the holomorphic Segre non-transversality for a holomorphic Segre map from Hn into HN with N ≤ 2n− 2 propagates along Segre varieties. We also...
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We construct the deformation functor associated with a pair of morphisms of differential graded Lie algebras, and use it to study infinitesimal deformations of holomorphic maps of compact complex manifolds. In particular, using L∞ structures, we give an explicit description of the differential graded Lie algebra that controls this problem.
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In this note we are concerned with fixed point theory for holomorphic self maps on complex manifolds. After the well-known Schwarz lemma on the unit disk, which assumes a fixed point, the Pick theorem was proved in [8]. This can be extended to a Pick-type theorem on hyperbolic Riemann surfaces as is shown in [5, 7]. For a more general type of space: open, connected and bounded subsets of a Bana...
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ژورنال
عنوان ژورنال: Indiana University Mathematics Journal
سال: 2003
ISSN: 0022-2518
DOI: 10.1512/iumj.2003.52.2424