## Introduction to algebraic geometry |

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### Contents

INTRODUCTION | 1 |

CoiXINEATIONS AND CORRELATIONS OF | 7 |

The General Irreducible Algebraic Manifold | 13 |

50 other sections not shown

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### Common terms and phrases

adjoint adjoint curves algebraic base points birational birationally canonical curve canonical series chords coincidence common complete intersection condition cone congruence conics Consider contains coordinates corre correspondence Cremona transformation cubic primal cubic scroll cubic surface curve of F curve of order deduce defined denote dimension double curve double line double points elliptic equation equivalent example finite number fixed point follows formula fundamental curve genus geometry given line given point homaloidal improper nodes involution irreducible Jacobian linear complex linear series linear system locus manifold multiple points neighbourhood nodal non-singular number of points obtain parameters pass pencil plane curve point of F polar prime sections Prove quadric cone quadric primal quadric surface quartic quintic rational normal rational surface represented result ruled surface Show space suppose surface F surface of order tangent planes tangent primes touch triple points trisecant twisted cubic valency Veronese surface vertex