Geometry of algebraic curves. Volume II

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...

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Autori principali: Arbarello, Enrico, 1945-, Cornalba, Maurizio, 1947-...., mathématicien (Autore), Griffiths, Phillip A., 1938-...., mathématicien (Autore), Harris, Joe, 1951-...., mathématicien (Autore)
Natura: Livre numérique
Lingua:Anglais
Pubblicazione: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Serie:Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics 268
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Accès Université d'Orléans
Accès INSA CVL
Nota: Description d'après consultation du 26 février 2013
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Geometry of algebraic curves, Volume II, Enrico Arbarello, Maurizio Cornalba, Pillip [i.e. Phillip] A. Griffiths, Heidelberg, Springer, 2011, 1 vol. (XXX-963 p.), Grundlehren der mathematischen Wissenschaften, 978-3-540-42688-2
Sommario:
  • 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