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Algebraic Functions and Projective Curves

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Algebraic Functions and Projective Curves - Goldschmidt, David
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This book gives an introduction to algebraic functions and projective curves. It covers a wide range of material by dispensing with the machinery of algebraic geometry and proceeding directly via valuation theory to the main results on function fields. It also develops the theory of singular curves by studying maps to projective space, including topics such as Weierstrass points in characteristic p, and the Gorenstein relations for singularities of plane curves.

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Algebraic Functions and Projective Curves 2010, Springer-Verlag New York Inc., New York, NY

ISBN-13: 9781441929952

Paperback

Algebraic Functions and Projective Curves 2002, Springer, New York, NY

ISBN-13: 9780387954325

2003 edition

Hardcover