Algebraic varieties

Summary

Titles

• Full Title: Algebraic varieties/ George R. Kempf.

Series Statement

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Notes

• Includes bibliographical references (pages 146-148) and index.
• 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.

Identifiers

• Isbns: 9781107088337; 110708833X; 9781107359956; 1107359953; 1299706134; 9781299706132
• Oclc Number: (OCoLC)846492944

Publication Statement

• Place: Cambridge ; New York
• Publisher: Cambridge University Press
• Date: 1993

Physical Description

• Extent: 1 online resource (x, 163 pages)

Table Of Contents

• 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 --

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.

Subjects

Writers