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AuthorGoldschmidt, David M. author
TitleAlgebraic Functions and Projective Curves [electronic resource] / by David M. Goldschmidt
ImprintNew York, NY : Springer New York : Imprint: Springer, 2003
Connect tohttp://dx.doi.org/10.1007/b97844
Descript XVI, 186 p. online resource

SUMMARY

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 Stรถhr--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


CONTENT

Background -- Function Fields -- Finite Extensions -- Projective Curves -- Zeta Functions


Mathematics Algebraic geometry Number theory Mathematics Algebraic Geometry Number Theory



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