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Proper Holomorphic Maps from Domains in ℂ2 with Transverse Circle Action

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Abstract

The authors consider proper holomorphic mappings between smoothly bounded pseudoconvex regions in complex 2-space, where the domain is of finite type and admits a transverse circle action. The main result is that the closure of each irreducible component of the branch locus of such a map intersects the boundary of the domain in the union of finitely many orbits of the group action.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Indiana University - Purdue University Fort Wayne, Fort Wayne, IN, 46805-1499, USA

    Adam Coffman

  2. Department of Mathematical Sciences, Indiana University - Purdue University Fort Wayne, Fort Wayne, IN, 46805-1499, USA

    Yifei Pan

  3. College of Mathematics and Information Sciences, Jiangxi Normal University, Nanchang, 330022, China

    Yifei Pan

Authors
  1. Adam Coffman
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  2. Yifei Pan
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Correspondence to Adam Coffman.

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Coffman, A., Pan, Y. Proper Holomorphic Maps from Domains in ℂ2 with Transverse Circle Action. Chin. Ann. Math. Ser. B 28, 533–542 (2007). https://doi.org/10.1007/s11401-006-0098-3

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  • DOI: https://doi.org/10.1007/s11401-006-0098-3

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