Geometry of Algebraic Curves: Volume II with a contribution by Joseph Daniel Harris

by Enrico Arbarello, Maurizio Cornalba, Pillip Augustus Griffiths

The second volume of the Geometry of Algebraic Curves is devoted to the foundations of the theory of moduli of algebraic curves. Its authors are research mathematicians who have actively participated in the development of the Geometry of Algebraic Curves. The subject is an extremely fertile and active one, both within the mathematical community and at the interface with the theoretical physics community. The approach is unique in its blending of algebro-geometric, complex analytic and topological/combinatorial methods. It treats important topics such as Teichmuller theory, the cellular decomposition of moduli and its consequences and the Witten conjecture. The careful and comprehensive presentation of the material is of value to students who wish to learn the subject and to experts as a reference source.

The first volume appeared 1985 as vol. 267 of the same series.

993 pages, Paperback

First published March 29, 2011

Reviews

[Joe Cole · Rating 5 out of 5]

this is more readable and more stuff is going in this book on scheme. This book only talks about scheme and does not mention old languages at all. Some important topics are not mentioned sufficiently in this book; so it is better to accompany this book with stack project papers.