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Algebraic varieties / George R. Kempf.

By: Material type: TextTextSeries: London Mathematical Society lecture note series ; 172.Publication details: Cambridge ; New York : Cambridge University Press, 1993.Description: 1 online resource (x, 163 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781107088337
  • 110708833X
  • 9781107359956
  • 1107359953
  • 1299706134
  • 9781299706132
Subject(s): Genre/Form: Additional physical formats: Print version:: Algebraic varieties.DDC classification:
  • 516 22
LOC classification:
  • QA564 .K447 1993eb
Other classification:
  • 31.65
Online resources:
Partial contents:
Introduction -- Algebraic varieties: definition and existence -- The preparation lenna and some consequences -- Products; separated and complete varieties -- Sheaves -- Sheaves in algebraic geometry -- Smooth varieties and morphisms -- Curves -- Cohomology and the Riemann-Roch theorem -- General cohomology -- Applications -- Appendix.
Summary: In this book Professor Kempf gives an introduction to the theory of algebraic functions on varieties from a sheaf theoretic standpoint. By taking this view he is able to give a clean and lucid account of the subject which will be easily accessible to all newcomers to algebraic varieties, graduate students or experts from other fields alike. Anyone who goes on to study schemes will find that this book is an ideal preparatory text.
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Includes bibliographical references (pages 146-148) and index.

Print version record.

Introduction -- Algebraic varieties: definition and existence -- The preparation lenna and some consequences -- Products; separated and complete varieties -- Sheaves -- Sheaves in algebraic geometry -- Smooth varieties and morphisms -- Curves -- Cohomology and the Riemann-Roch theorem -- General cohomology -- Applications -- Appendix.

English.

In this book Professor Kempf gives an introduction to the theory of algebraic functions on varieties from a sheaf theoretic standpoint. By taking this view he is able to give a clean and lucid account of the subject which will be easily accessible to all newcomers to algebraic varieties, graduate students or experts from other fields alike. Anyone who goes on to study schemes will find that this book is an ideal preparatory text.

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