Introduction to the Theory of Algebraic Functions of One Variable (Mathematical Surveys and Monographs) - Softcover

American Mathematical Society

 
9780821815069: Introduction to the Theory of Algebraic Functions of One Variable (Mathematical Surveys and Monographs)
Softcover
ISBN 10: 0821815067 ISBN 13: 9780821815069
Verlag: American Mathematical Society, 1951

Inhaltsangabe

This classical book, written by a famous French mathematician in the early 1950s, presents an approach to algebraic geometry of curves treated as the theory of algebraic functions on the curve. Among other advantages of such an approach, it allowed the author to consider curves over an arbitrary ground field. Among topics discussed in the book are the theory of divisors on a curve, the Riemann-Roch theorem, $p$-adic completion, extensions of the fields of functions (covering theory) and of the fields of constants, and the theory of differentials on a curve. The last chapter, which is more analytic in flavor, treats the theory of Riemann surfaces. Prerequisites for reading are minimal and include only an advanced undergraduate algebra course.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Reseña del editor

This classical book, written by a famous French mathematician in the early 1950s, presents an approach to algebraic geometry of curves treated as the theory of algebraic functions on the curve. Among other advantages of such an approach, it allowed the author to consider curves over an arbitrary ground field. Among topics discussed in the book are the theory of divisors on a curve, the Riemann-Roch theorem, $p$-adic completion, extensions of the fields of functions (covering theory) and of the fields of constants, and the theory of differentials on a curve. The last chapter, which is more analytic in flavor, treats the theory of Riemann surfaces. Prerequisites for reading are minimal and include only an advanced undergraduate algebra course.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
American Mathematical Society
Erscheinungsdatum
1951
Sprache
Englisch
ISBN 10 
0821815067
ISBN 13 
9780821815069
Einband
Tapa blanda
Anzahl der Seiten
188
Kontakt zum Hersteller
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Verantwortliche Person
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