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Cover image for book Geometry of Algebraic Curves

Geometry of Algebraic Curves

Volume II with a contribution by Joseph Daniel Harris
By:Enrico Arbarello; Maurizio Cornalba; Phillip Griffiths
Publisher:Springer Nature
Print ISBN:9783540426882
eText ISBN:9783540693925
Edition:0
Copyright:2011
Format:Page Fidelity

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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 Teichmüller 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.