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Coherent Analytic Sheaves

  • Hans Grauert
  • Reinhold Remmert
Book

Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 265)

Table of contents

  1. Front Matter
    Pages I-XVIII
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  2. Complex Spaces
    Hans Grauert, Reinhold Remmert
    Pages 1-37
  3. Local WEIERSTRASS Theory
    Hans Grauert, Reinhold Remmert
    Pages 38-60
  4. Finite Holomorphic Maps
    Hans Grauert, Reinhold Remmert
    Pages 61-74
  5. Analytic Sets. Coherence of Ideal Sheaves
    Hans Grauert, Reinhold Remmert
    Pages 75-92
  6. Dimension Theory
    Hans Grauert, Reinhold Remmert
    Pages 93-112
  7. Analyticity of the Singular Locus. Normalization of the Structure Sheaf
    Hans Grauert, Reinhold Remmert
    Pages 113-129
  8. RIEMANN Extension Theorem and Analytic Coverings
    Hans Grauert, Reinhold Remmert
    Pages 130-151
  9. Normalization of Complex Spaces
    Hans Grauert, Reinhold Remmert
    Pages 152-166
  10. Irreducibility and Connectivity. Extension of Analytic Sets
    Hans Grauert, Reinhold Remmert
    Pages 167-187
  11. Direct Image Theorem
    Hans Grauert, Reinhold Remmert
    Pages 188-222
  12. Back Matter
    Pages 223-249
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About this book

Keywords

Kohärente analytische Garbe Math Riemann surface Sheaves algebra convergence function functions holomorphic function integral manifold mathematics maximum presentation tool

Authors and affiliations

  • Hans Grauert
    • 1
  • Reinhold Remmert
    • 2
  1. 1.Mathematisches InstitutUniversität GöttingenGöttingenGermany
  2. 2.Mathematisches InstitutUniversität MünsterMünsterGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-69582-7
  • Copyright Information Springer-Verlag Berlin Heidelberg 1984
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-69584-1
  • Online ISBN 978-3-642-69582-7
  • Series Print ISSN 0072-7830
  • Buy this book on publisher's site