Abstract

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 top

Keywords

Algebraic geometryAlgebraic geometry and analytic geometryMathematicsAlgebra over a fieldAlgebraic surfaceAlgebraic numberIntuitionQuadricFunction field of an algebraic varietyReal algebraic geometryManifold (fluid mechanics)Pure mathematicsComputer scienceMathematical analysisEngineering

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Publication Info

Year
1994
Type
book
Citations
6508
Access
Closed

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Phillip Griffiths, Joseph Harris (1994). Principles of Algebraic Geometry. . https://doi.org/10.1002/9781118032527

Identifiers

DOI
10.1002/9781118032527