Offers an introduction to algebraic functions and projective curves. This book 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. Series: Graduate Texts in Mathematics. Num Pages: 202 pages, biography. BIC Classification: PBH; PBMW. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 234 x 156 x 12. Weight in Grams: 1030. . 2002. 2003rd Edition. hardcover. . . . . Books ship from the US and Ireland.

Bestandsnummer des Verk�ufers V9780387954325

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Titel: Algebraic Functions and Projective Curves
Verlag: Springer
Erscheinungsjahr: 2002
Sprache: Englisch
ISBN-10: 0387954325
ISBN-13: 9780387954325
Einband: Hardcover
Zustand: New

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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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This book provides a self-contained exposition of the theory of algebraic curves without requiring any of the prerequisites of modern algebraic geometry. The self-contained treatment makes this important and mathematically central subject accessible to non-specialists. At the same time, specialists in the field may be interested to discover several unusual topics. Among these are Tates theory of residues, higher derivatives and Weierstrass points in characteristic p, the St�hr--Voloch proof of the Riemann hypothesis, and a treatment of inseparable residue field extensions. Although the exposition is based on the theory of function fields in one variable, the book is unusual in that it also covers projective curves, including singularities and a section on plane curves.
David Goldschmidt has served as the Director of the Center for Communications Research since 1991. Prior to that he was Professor of Mathematics at the University of California, Berkeley.

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