Principles of Algebraic Geometry

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John Wiley & Sons, 10 août 2011 - 832 pages
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A comprehensive, self-contained treatment presenting general results of the theory. Establishes a geometric intuition and a working facility with specific geometric practices. Emphasizes applications through the study of interesting examples and the development of computational tools. Coverage ranges from analytic to geometric. Treats basic techniques and results of complex manifold theory, focusing on results applicable to projective varieties, and includes discussion of the theory of Riemann surfaces and algebraic curves, algebraic surfaces and the quadric line complex as well as special topics in complex manifolds.
  

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Table des matières

CHAPTER 0 FOUNDATIONAL MATERIAL
1
CHAPTER 1 COMPLEX ALGEBRAIC VARIETIES
128
CHAPTER 2 RIEMANN SURFACES AND ALGEBRAIC CURVES
212
CHAPTER 3 FURTHER TECHNIQUES
364
CHAPTER 4 SURFACES
469
CHAPTER 5 RESIDUES
647
CHAPTER 6 THE QUADRIC LINE COMPLEX
733
INDEX
805
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À propos de l'auteur (2011)

Robert Bryant is the J. M. Kreps Professor in the Department of Mathematics at Duke University.
Phillip Griffiths is the director of the Institute for Advanced Study and professor in the Department of Mathematics at Duke University.
Daniel Grossman was an L. E. Dickson Instructor in the Department of Mathematics at the University of Chicago at the time of writing, and is now a consultant at the Chicago office of the Boston Consulting Group.

Dr. Joseph Harris, author of the "Get Ready!" books for grades 1, 2, and 4, holds a Ph.D. in psychology from the Graduate Training Program in School Psychology at the University of South Carolina. He is an adjunct professor in psychology at Converse College.

Carol Turkington, series editor, specializes in developmental psychology. Her articles on parenting and health have appeared in "Parents", "Psychology Today", and the "New York Times".

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