UID:
almahu_9947362743002882
Umfang:
XVI, 186 p.
,
online resource.
ISBN:
9780387224459
Serie:
Graduate Texts in Mathematics, 215
Inhalt:
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.
Anmerkung:
Background -- Function Fields -- Finite Extensions -- Projective Curves -- Zeta Functions.
In:
Springer eBooks
Weitere Ausg.:
Printed edition: ISBN 9781441929952
Sprache:
Englisch
URL:
http://dx.doi.org/10.1007/b97844
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