## Algebraic SurfacesFrom the reviews: "The author's book [ ] saw its first edition in 1935. [ ] Now as before, the original text of the book is an excellent source for an interested reader to study the methods of classical algebraic geometry, and to find the great old results. [ ] a timelessly beautiful pearl in the cultural heritage of mathematics as a whole." Zentralblatt MATH |

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### Contents

Theory and Reduction of Singularities | 1 |

Linear Systems of Curves | 24 |

Appendix to Chapter II by JoSEPH LIPMAN | 45 |

Copyright | |

39 other sections not shown

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### Common terms and phrases

1-cycle abelian integral abelian varieties adjoint curves adjoint surfaces adjoint system algebraic curve algebraic cycles algebraic surface algebraic varieties arbitrary Atti Accad base points birational transformations birationally branch curve CASTELNUovo characteristic series cohomology complete continuous system condition correspondence curve of F curves of order defined deformation denote dimension divisors double integral double points ENRIQUES equations exceptional curves exists finite number fixed component follows fundamental curves genus given hence homologies hyperplane section independent infinitely intersection irreducible curve LEFSCHETz Lincei linear system Math matrix multiple points nodes non-singular pencil periods PICARD plane section polynomials possesses proof proved quadratic transformations Rend ruled surfaces second kind section of F series of equivalence SEVERI simple integrals singularities subadjoint sufficiently high superficie algebriche surface F system of curves tangent theorem theory topological valence variable virtual multiplicities ZARISKI zero