Algebraic Functions and Projective Curves
Seiten
2010
|
Softcover reprint of the original 1st ed. 2003
Springer-Verlag New York Inc.
978-1-4419-2995-2 (ISBN)
Springer-Verlag New York Inc.
978-1-4419-2995-2 (ISBN)
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This book gives an introduction to algebraic functions and projective curves. 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.
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.
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.
Preface * Introduction * Background * Function Fields * Finite Extensions * Projective Curves * Zeta Functions * Appendix: Elementary Field Theory * References * Index
| Erscheint lt. Verlag | 1.12.2010 |
|---|---|
| Reihe/Serie | Graduate Texts in Mathematics ; 215 |
| Zusatzinfo | XVI, 185 p. |
| Verlagsort | New York, NY |
| Sprache | englisch |
| Maße | 152 x 229 mm |
| Gewicht | 640 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| ISBN-10 | 1-4419-2995-9 / 1441929959 |
| ISBN-13 | 978-1-4419-2995-2 / 9781441929952 |
| Zustand | Neuware |
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