TY  - GEN
AU  - Goldschmidt, David M.
TI  - Algebraic functions and projective curves
SN  - 9780387954325
U1  - 516.35 GOL 
PY  - 2003///
CY  - New York
PB  - Springer
KW  - Mathematics
KW  - Number Theory
KW  - Algebraic Geometry
KW  - Curves, Algebraic
KW  - Complex Analysis
KW  - Algebraic Functions
KW  - Geometry, Algebraic
N2  - 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.


ER  -