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作者:Wan, DQ
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作者:Cerveau, D; Neto, AL
摘要:In this paper we will prove that the space of holomorphic foliations of codimension 1 and degree 2 in CP(n), n greater than or equal to 3, has six irreducible components.
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作者:Bao, D; Chern, SS
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作者:Korner, TW
摘要:There exists a square integrable function whose Fourier sum, when taken in decreasing order of magnitude of the coefficients, diverges unboundedly almost everywhere.
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作者:Yue, CB
摘要:Let Gamma(0) subset of SO(N, 1) (n greater than or equal to 2 be a cocompact lattice and rho: Gamma(0) --> Gamma be an injective representation into a convex-cocompact discrete isometric subgroup of a noncompact rank-1 symmetric space. The Hausdorff dimension delta(Gamma) of the limit set of Gamma = rho(Gamma(0)) satisfies delta(Gamma) greater than or equal to delta(Gamma(0)) = n - 1. We prove that equality holds if and only if rho is a Fuchsian representation; i.e., Gamma preserves a totally ...
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作者:Lubotzky, A
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作者:Nemethi, A; Steenbrink, J
摘要:We consider a local variation of Hedge structure with abelian monodromy group. We show the existence of a canonical limit mixed Hedge structure, and we prove the nilpotent orbit theorem in this context.
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作者:Chern, SS; Ji, SY
摘要:We prove a generalization of the Riemann mapping theorem: if a bounded simply connected domain Omega with connected smooth boundary has the spherical boundary, then it is biholomorphic to the unit ball.
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作者:Kuperberg, G; Kuperberg, K
摘要:Using the theory of plugs and the self-insertion construction due to the second author, we prove that a foliation of any codimension of any manifold can be modified in a real analytic or piecewise-linear fashion so that all minimal sets have codimension 1. In particular; the 3-sphere S-3 has a real analytic dynamical system such that all limit sets are 2-dimensional. We also prove that a 1-dimensional foliation of a manifold of dimension at least 3 can be modified in a piecewise-linear fashion...
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作者:Muller, D; Ricci, F