Algebraic functions and projective curves
Goldschmidt, David M.
Algebraic functions and projective curves - New York: Springer, 2003 - xvi, 179p. hb; 24 cm - Graduate Texts in Mathematics, 0072-5285; Vol.215 .
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.
9780387954325
Mathematics
Number Theory
Algebraic Geometry
Curves, Algebraic
Complex Analysis
Algebraic Functions
Geometry, Algebraic
516.35 GOL
Algebraic functions and projective curves - New York: Springer, 2003 - xvi, 179p. hb; 24 cm - Graduate Texts in Mathematics, 0072-5285; Vol.215 .
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.
9780387954325
Mathematics
Number Theory
Algebraic Geometry
Curves, Algebraic
Complex Analysis
Algebraic Functions
Geometry, Algebraic
516.35 GOL
