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Mathematics - Algebra | Geometry of Algebraic Curves - Volume II with a contribution by Joseph Daniel Harris (Reviews)

Geometry of Algebraic Curves

Volume II with a contribution by Joseph Daniel Harris

Arbarello, Enrico, Cornalba, Maurizio, Griffiths, Phillip

2011, XXX, 963p. 112 illus., 30 illus. in color.

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From the reviews:

“This second volume will become the standard reference for researchers and students working on the algebraic geometry of curves. With almost 700 items in the rich 42-page bibliography, bibliographical notes at the end of every chapter to guide the reader and sets of (guided) exercises as in the first volume, this second volume is an interactive resource for everyone seriously interested on this beautiful part of algebraic geometry. We owe the authors a heartfelt thank you for writing such a rich, beautiful and full treatise.” (Felipe Zaldivar, The Mathematical Association of America, July, 2011)

“Here, after a quarter of a century, is finally the sequel to Volume I … . That volume, essentially devoted to properties of a single curve … . The present volume has its focus on their moduli … . The book under review is very helpful for reference and for learning the details … . Summing up: every algebraic geometer should have a copy, while a Teichmüller person and a topologist should seriously consider getting one.” (E. Looijenga, Mathematical Reviews, Issue 2012 e)

“Provide comprehensive and detailed foundations for the theory of moduli of complex algebraic curves, and that from multiple perspectives and various points of view. … The bibliography at the end of the book is extremely rich and very up-to-date. … The current book is an excellent research monograph and reference book in the theory of complex algebraic curves and their moduli, which is very likely to become an indispensable source for researchers and graduate students in both complex geometry and mathematical physics.” (Werner Kleinert, Zentralblatt MATH, Vol. 1235, 2012)

 

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