## Algebraic Geometry |

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### Contents

Algebraic Foundations 1 Preliminaries | 3 |

Resultants and elimination | 5 |

Algebraic dependence Transcendency | 6 |

Copyright | |

49 other sections not shown

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### Common terms and phrases

abelian differential adjoints affine coordinates affine transformation algebraic curve algebraic varieties algebraically closed algebraically independent algebroid assume base birational model birational transformation canonical series characteristic zero coefficients complete components Consider contains coordinate system defined degree denote dimension distinct points divisor double points elements equivalent factor finite number fixed places formal power series function field G KH[x graph groundfield Hence hyperplane hypersurface ideal aH indeterminates intersection irreducible curve irreducible variety isomorphic Jacobian linear series linearly independent merely monoidal N(rj non•units normal system obtained one■one ordinary point parameter place 77 place tt plane points Mt poles polynomial power series primary ideal prime ideal projection proof prove rational transformation reducible referred regular replace residue ring second kind singular points solution space special polynomial subvariety Suppose surface theorem transc transcendency unique variable