Description

Book Synopsis
In recent years there has been enormous activity in the theory of algebraic curves. Our goal is to give a comprehensive and self-contained account of the extrinsic geometry of algebraic curves, which in our opinion constitutes the main geometric core of the recent advances in curve theory.

Trade Review

From the reviews:

“A comprehensive account of the deepest results of the geometry of algebraic curves that were obtained in the second half of the 20th century using some of the more advanced techniques of abstract algebraic geometry … . at the end of every chapter there bibliographical notes that guide the reader to the original literature and further developments and sets of exercises that complement the theory … . an immediate standard reference for researchers and students working on the geometry of algebraic curves … .” (Felipe Zaldivar, The Mathematical Association of America, July, 2011)



Table of Contents
Preliminaries.- Determinantal Varieties.- to Special Divisors.- The Varieties of Special Linear Series on a Curve.- The Basic Results of the Brill-Noether Theory.- The Geometric Theory of Riemann’s Theta Function.- The Existence and Connectedness Theorems for W d r (C).- Enumerative Geometry of Curves.

Geometry Of Algebraic Curves Volume I Grundlehren der mathematischen Wissenschaften 267

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    A Paperback by Enrico Arbarello, Maurizio Cornalba, Phillip Griffiths

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      Book details

      Publisher Springer New York
      Published 12 January 2010
      ISBN-13 9781441928252
      978-1441928252
      ISBN-10 1441928251
      Also in:
      Mathematics Algebraic geometry

      Description

      Book Synopsis
      In recent years there has been enormous activity in the theory of algebraic curves. Our goal is to give a comprehensive and self-contained account of the extrinsic geometry of algebraic curves, which in our opinion constitutes the main geometric core of the recent advances in curve theory.

      Trade Review

      From the reviews:

      “A comprehensive account of the deepest results of the geometry of algebraic curves that were obtained in the second half of the 20th century using some of the more advanced techniques of abstract algebraic geometry … . at the end of every chapter there bibliographical notes that guide the reader to the original literature and further developments and sets of exercises that complement the theory … . an immediate standard reference for researchers and students working on the geometry of algebraic curves … .” (Felipe Zaldivar, The Mathematical Association of America, July, 2011)



      Table of Contents
      Preliminaries.- Determinantal Varieties.- to Special Divisors.- The Varieties of Special Linear Series on a Curve.- The Basic Results of the Brill-Noether Theory.- The Geometric Theory of Riemann’s Theta Function.- The Existence and Connectedness Theorems for W d r (C).- Enumerative Geometry of Curves.

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