English

Geometric properties and related results for holomorphic Segre preserving maps

Complex Variables 2008-10-16 v1 Differential Geometry

Abstract

In this paper, we examine holomorphic Segre preserving maps between the complexifications of real hypersurfaces in Cn+1\mathbb{C}^{n+1}. In particular, we find several sufficient conditions ensuring that Segre transversality and total Segre nondegeneracy of the maps must hold.

Keywords

Cite

@article{arxiv.0810.2570,
  title  = {Geometric properties and related results for holomorphic Segre preserving maps},
  author = {R. Blair Angle},
  journal= {arXiv preprint arXiv:0810.2570},
  year   = {2008}
}

Comments

18 pages