Local cohomology : an algebraic introduction with geometric applications /

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This popular graduate text has been thoroughly revised and updated to incorporate recent developments in the field.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Brodmann, M. P. (Markus P.), 1945-
Otros Autores: Sharp, R. Y.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge ; New York : Cambridge University Press, 2013.
Edición:2nd ed.
Colección:Cambridge studies in advanced mathematics ; 136.
Temas:
Algebra, Homological.
Algèbre homologique.
Homología, Teoría de
Algebra, Homological
Acceso en línea:Texto completo
Tabla de Contenidos:
  • The local cohomology functors
  • Torsion modules and ideal transforms
  • The Mayer-Vietoris sequence
  • Change of rings
  • Other approaches
  • Fundamental vanishing theorems
  • Artinian local cohomology modules
  • The Lichtenbaum-Hartshorne Theorem
  • The Annihilator and Finiteness Theorems
  • Matlis duality
  • Local duality
  • Canonical modules
  • Foundations in the graded case
  • Graded versions of basic theorems
  • Links with projective varieties
  • Castelnuovo regularity
  • Hilbert polynomials
  • Applications to reductions of ideals
  • Connectivity in algebraic varieties
  • Links with sheaf cohomology.

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