Principles of Algebraic Geometry (Pure & Applied Mathematics Monograph) - Hardcover

Griffiths, Phillip; Harris, Joseph

 
9780471327929: Principles of Algebraic Geometry (Pure & Applied Mathematics Monograph)

Synopsis

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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About the Author

About the authors PHILLIP GRIFFITHS is a faculty member in the Mathematics Department of Harvard University. JOSEPH HARRIS is a faculty member in the Mathematics Department of the Massachusetts Institute of Technology.

From the Inside Flap

Changes in algebraic geometry have made it a subject that, over the past few years, has become increasingly inaccessible to all but the specialist. This comprehensive, self-contained treatment presents some of the main, general results of the theory accompanied by (and with emphasis on) their applications to the study of interesting examples and to the development of computational tools. It establishes a geometric intuition and a working facility with specific geometric practices, providing mathematicians and physicists with a greater accessibility to the field. The effective utilization of the techniques of elementary complex analysis and topology synthesize the classical and the modern?the geometric and the abstract-into a cohesive presentation. Coverage ranges from analytic to geometric along classical lines. Basic techniques and results of complex manifold theory are treated, focusing on results applicable to projective varieties. Further discussions include the theory of Riemann surfaces and algebraic curves, algebraic surfaces and the quadric line complex, and special topics in complex manifolds.

"About this title" may belong to another edition of this title.

Other Popular Editions of the Same Title

9780471050599: Principles of Algebraic Geometry: 52 (Wiley Classics Library)

Featured Edition

ISBN 10:  0471050598 ISBN 13:  9780471050599
Publisher: Wiley-Interscience, 1994
Softcover