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Interplay Between CR Geometry and Algebraic Geometry

  • 2015
  • OriginalPaper
  • Chapter
Published in:
Authors
Stephen Yau
Huaiqing Zuo
Published in
Complex Geometry and Dynamics
Publisher
Springer International Publishing

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Abstract

By a beautiful theorem of Harvey and Lawson, strongly pseudoconvex connected compact embeddable CR manifolds are the boundaries of subvarieties in \(\mathbb{C}^{N}\) with only normal isolated singularities. This leads to a natural question of how to determine the properties of the interior singularities from the CR manifolds and vice versa. In this paper, we give a survey on the interplay between CR Geometry and Algebraic Geometry for the last 30 years or so.

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Metadata
Title
Interplay Between CR Geometry and Algebraic Geometry
Authors
Stephen Yau
Huaiqing Zuo
Copyright Year
2015
Book
Complex Geometry and Dynamics

Print ISBN: 978-3-319-20336-2

Electronic ISBN: 978-3-319-20337-9

Copyright Year: 2015

DOI
https://doi.org/10.1007/978-3-319-20337-9_10

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