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＜電子ブック＞
Geometry of Algebraic Curves : Volume II with a contribution by Joseph Daniel Harris / by Enrico Arbarello, Maurizio Cornalba, Phillip Griffiths
(Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics. ISSN:21969701 ; 268)

版	1st ed. 2011.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2011
本文言語	英語
大きさ	XXX, 963 p. 112 illus., 30 illus. in color : online resource
著者標目	*Arbarello, Enrico author Cornalba, Maurizio author Griffiths, Phillip author SpringerLink (Online service)
件　名	LCSH:Algebraic geometry LCSH:Functions of complex variables LCSH:Manifolds (Mathematics) LCSH:Discrete mathematics LCSH:Mathematical physics FREE:Algebraic Geometry FREE:Several Complex Variables and Analytic Spaces FREE:Functions of a Complex Variable FREE:Manifolds and Cell Complexes FREE:Discrete Mathematics FREE:Theoretical, Mathematical and Computational Physics
一般注記	Preface -- Guide to the Reader -- Chapter IX. The Hilbert Scheme -- Chapter X. Nodal curves -- Chapter XI. Elementary deformation theory and some applications -- Chapter XII. The moduli space of stable curves -- Chapter XIII. Line bundles on moduli -- Chapter XIV. The projectivity of the moduli space of stable curves -- Chapter XV. The Teichmüller point of view -- Chapter XVI. Smooth Galois covers of moduli spaces -- Chapter XVII. Cycles on the moduli spaces of stable curves -- Chapter XVIII. Cellular decomposition of moduli spaces -- Chapter XIX. First consequences of the cellular decomposition -- Chapter XX. Intersection theory of tautological classes -- Chapter XXI. Brill-Noether theory on a moving curve -- Bibliography -- Index 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 will be of value to students who wish to learn the subject and to experts as a reference source. The first volume appeared 1985 as volume 267 of the same series HTTP:URL=https://doi.org/10.1007/978-3-540-69392-5

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