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Title of Journal: Math Ann

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Abbravation: Mathematische Annalen

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Springer Berlin Heidelberg

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DOI

10.1002/hc.520060622

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1432-1807

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Rigidity of proper holomorphic maps between bounde

Authors: SungYeon Kim Dmitri Zaitsev
Publish Date: 2014/11/23
Volume: 362, Issue: 1-2, Pages: 639-677
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Abstract

Our first main result gives assumptions guaranteeing that proper holomorphic maps between Cartan type I bounded symmetric domains have simple block matrix shape answering positively a question of Mok The proof is based on the second main result establishing similar phenomenon for local CR maps between arbitrary boundary components of two bounded symmetric domains of the above type Since boundary components other than Shilov boundaries are Levidegenerate our analysis is based on their 2nondegeneracy combining Levi forms with higher order tensorsThis research was supported by Basic Science Research Program through the National Research Foundation of Korea NRF funded by the Ministry of Education Science and Technology Grant number 2012R1A1B5003198 Supported in part by the Science Foundation Ireland Grant 10/RFP/MTH2878

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  2. Fibred multilinks and singularities $${f \overline g}$$
  3. The NSLUC property and Klee envelope
  4. Hölder estimates for parabolic p ( x , t )-Laplacian systems
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  9. Strichartz estimates via the Schrödinger maximal operator
  10. Examples of relative deformation spaces that are not locally connected
  11. Polynomial approximation of Berkovich spaces and definable types
  12. Prographes sylvestres et groupes profinis presque libres
  13. Zone diagrams in Euclidean spaces and in other normed spaces
  14. A critical radius for unit Hopf vector fields on spheres
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  16. New examples of c 0 -saturated Banach spaces
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  18. Relatively weakly open sets in closed balls of Banach spaces, and real JB * -triples of finite rank
  19. The Bergman metric on complete Kähler manifolds
  20. Conformal dimension via subcomplexes for small cancellation and random groups
  21. Analytic torsion of Hirzebruch surfaces
  22. Déformations des cônes de vecteurs primitifs
  23. Radial entire solutions for supercritical biharmonic equations
  24. Weighted Calderón–Zygmund and Rellich inequalities in $$L^p$$
  25. On entropy, regularity and rigidity for convex representations of hyperbolic manifolds
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  28. Isomonodromic deformations of logarithmic connections and stability
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  31. Quantitative mixing results and inner functions
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