Algebraic Curves [reprint of the 1st edition] 0387903615, 9780387903613

(unlike all the previous versions of this book in Genesis, this one has all the pages (including missing 128-129), OCR,

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English Pages 211 [208] Year 1978

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Algebraic Curves [reprint of the 1st edition]
 0387903615, 9780387903613

  • Commentary
  • unlike all the previous versions of this book in Genesis, this one has all the pages (including missing 128-129), OCR, and bookmarks

Table of contents :
TOC
Notations and Symbols 2
Notations and Symbols 2
Chapter I. Algebraic preliminaries 3
Chapter II. Projective spaces 32
CHAPTER III. PLANE ALGEBRAIC CURVES 50
Chapter IV. Formal power series
1. Formal Power Series
2. Parametrizations
3. Fractional Power Series
3.3 Example [of newton polygons]
4. Places of a Curve
5. Intersection of Curves
6. Plucker's Formulas
7. Noether's Theorem 120
Chapter V. Transformations of a curve 125
Chapter VI. Linear series 161
1. Linear Series
2. Complete Series
3. Invariance of Linear Series
4. Rational Transformations Associated with Linear Series
5. The Canonical Series
6. Dimension of a Complete Series
Residue theorem
Index

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