Algebraic Functions and Projective Curves: 215 (Graduate Texts in Mathematics, 215) - Tapa dura

Libro 63 de 180: Graduate Texts in Mathematics

Goldschmidt, David

 
9780387954325: Algebraic Functions and Projective Curves: 215 (Graduate Texts in Mathematics, 215)
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ISBN 10: 0387954325 ISBN 13: 9780387954325
Editorial: Springer, 2002

Sinopsis

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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De la contraportada

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 Stöhr--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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Editorial
Springer
Año de publicación
2002
Idioma
Inglés
ISBN 10 
0387954325
ISBN 13 
9780387954325
Encuadernación
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Número de páginas
204
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Heidelberg
69115
Alemania

Otras ediciones populares con el mismo título

9781441929952: Algebraic Functions and Projective Curves: 215 (Graduate Texts in Mathematics)

Edición Destacada

ISBN 10:  1441929959 ISBN 13:  9781441929952
Editorial: Springer New York, 2010
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