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

• Κύριοι συγγραφείς: Arbarello, Enrico (Συγγραφέας), Cornalba, Maurizio (Συγγραφέας), Griffiths, Phillip A. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011.
• Σειρά: Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, 268
• Θέματα: Mathematics.; Algebraic geometry.; Functions of complex variables.; Manifolds (Mathematics).; Complex manifolds.; Combinatorics.; Physics.; Algebraic Geometry.; Several Complex Variables and Analytic Spaces.; Functions of a Complex Variable.; Manifolds and Cell Complexes (incl. Diff.Topology).; Theoretical, Mathematical and Computational Physics.

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 acti...

Πίνακας περιεχομένων:

• 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.