Algebraic functions and projective curves
著者
書誌事項
Algebraic functions and projective curves
（Graduate texts in mathematics, 215）
Springer, c2010
- : [pbk]
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注記
Includes bibliographical references (p. [175]-176) and index
内容説明・目次
内容説明
This book gives an introduction to algebraic functions and projective curves. It covers a wide range of material by dispensing with the machinery of algebraic geometry and proceeding directly via valuation theory to the main results on function fields. It also develops the theory of singular curves by studying maps to projective space, including topics such as Weierstrass points in characteristic p, and the Gorenstein relations for singularities of plane curves.
目次
Preface * Introduction * Background * Function Fields * Finite Extensions * Projective Curves * Zeta Functions * Appendix: Elementary Field Theory * References * Index
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