TY  - BOOK
AU  - Arbarello,Enrico
AU  - Cornalba,Maurizio
AU  - Griffiths,Phillip A.
ED  - SpringerLink (Online service)
TI  - Geometry of Algebraic Curves: Volume II with a contribution by Joseph Daniel Harris 
T2  - Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics,
SN  - 9783540693925
AV  - QA564-609 
U1  - 516.35 23
PY  - 2011///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Geometry, algebraic
KW  - Functions of complex variables
KW  - Differential equations, partial
KW  - Combinatorics
KW  - Cell aggregation
KW  - Algebraic Geometry
KW  - Several Complex Variables and Analytic Spaces
KW  - Functions of a Complex Variable
KW  - Manifolds and Cell Complexes (incl. Diff.Topology)
KW  - Theoretical, Mathematical and Computational Physics
N1  - 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
N2  - 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
UR  - http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-540-69392-5
ER  -