Geometry of algebraic curves : volume II

By: Enrico ArbarelloContributor(s): Maurizio Cornalba | Phillip A. GriffithsMaterial type: TextTextSeries: Grundlehren der mathematischen Wissenschaften ; Vol. 268Publication details: Heidelberg: Springer - Verlag, [c2011]Description: 963 pISBN: 9783540426882Subject(s): GeometryLOC classification: QA565
Contents:
9. The Hilbert Scheme 10. Nodal curves 11. Elementary deformation theory and some applications 12. The moduli space of stable curves 13. Line bundles on moduli 14. Projectivity of the moduli space of stable curves 15. The Teichmüller point of view 16. Smooth Galois covers of moduli spaces 17. Cycles in the moduli spaces of stable curves 18. Cellular decomposition of moduli spaces 19. First consequences of the cellular decomposition 20. Intersection theory of tautological classes 21. Brill–Noether theory on a moving curve
Summary: 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. --- summary provided by publisher
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Mathematic Rack No 6 QA565 (Browse shelf (Opens below)) Available Billno: 42621 ; Billdate: 21.02.2019 01773
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9. The Hilbert Scheme
10. Nodal curves
11. Elementary deformation theory and some applications
12. The moduli space of stable curves
13. Line bundles on moduli
14. Projectivity of the moduli space of stable curves
15. The Teichmüller point of view
16. Smooth Galois covers of moduli spaces
17. Cycles in the moduli spaces of stable curves
18. Cellular decomposition of moduli spaces
19. First consequences of the cellular decomposition
20. Intersection theory of tautological classes
21. Brill–Noether theory on a moving curve

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. --- summary provided by publisher

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