On the compactification of moduli spaces for algebraic K3 surfaces /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Scattone, Francesco, 1956- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, 1987.
Colección:Memoirs of the American Mathematical Society ; no. 374.
Temas:
Moduli theory.
Surfaces, Algebraic.
Baily-Borel compactification.
Théorie des modules.
Surfaces algébriques.
Compactification de Baily-Borel.
Baily-Borel compactification
Moduli theory
Surfaces, Algebraic
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Table of Contents
  • Index of notation
  • Introduction
  • 1. K3 surfaces
  • 1.1 The period map
  • 1.2 Degenerations of K3 surfaces
  • 2. Compactifications
  • 2.1 Baily-Borel compactification
  • 2.2 Arithmetic of degenerations
  • 3. Lattices and quadratic forms
  • 3.1 Lattices
  • 3.2 Discriminant-quadratic forms
  • 3.3 Genera of lattices
  • 3.4 The Minkowski-Siegel formula
  • 3.5 Reflections and root lattices
  • 3.6 Orthogonal groups
  • 3.7 Elementary transformations
  • 4. Primitive isotropic sublattices of rank one
  • 4.1 Preliminaries
  • 4.2 Classification5. Primitive isotropic sublattices of rank two
  • 5.1 First reduction
  • 5.2 A normalization
  • 5.3 Second reduction
  • 5.4 O(L)-equivalence classes
  • 5.5 Stabilizer groups
  • 5.6 Computation of the stabilizer groups
  • 6. Examples
  • 6.1 Description of g(k)
  • 6.2 Degree two
  • 6.3 Degree four
  • Bibliography

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