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Triangulated categories /

"Over the last few decades triangulated categories have become increasingly important, to the extent that they can now be viewed as a unifying theory underlying major parts of modern mathematics. This collection of survey articles, written by leading experts, covers fundamental aspects of trian...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Holm, Thorsten, 1965-, Jørgensen, Peter, 1970-, Rouquier, Raphaël
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge ; New York : Cambridge University Press, 2010.
Colección:London Mathematical Society lecture note series ; 375.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Triangulated categories : definitions, properties, and examples / Thorsten Holm and Peter Jørgensen
  • Cohomology over complete intersections via exterior algebras / Luchezar L. Avramov and Srikanth B. Iyengar
  • Cluster algebras, quiver representations and triangulated categories / Bernhard Keller
  • Localization theory for triangulated categories / Henning Krause
  • Homological algebra in bivariant K-theory and other triangulated categories. I / Ralf Meyer and Ryszard Nest
  • Derived categories and Grothendieck duality / Amnon Neeman
  • Derived categories and algebraic geometry / Raphaël Rouquier
  • Triangulated categories for the analysts / Pierre Schapira
  • Algebraic versus topological triangulated categories / Stefan Schwede
  • Derived categories of coherent sheaves on algebraic varieties / Yukinobu Toda
  • Rigid dualizing complexes via differential graded algebras (survey) / Amnon Yekutieli.