Polytopes, Rings, and K-Theory

This book treats the interaction between discrete convex geometry, commutative ring theory, algebraic K-theory, and algebraic geometry. The basic mathematical objects are lattice polytopes, rational cones, affine monoids, the algebras derived from them, and toric varieties. The book discusses severa...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Bruns, Winfried (Autor), Gubeladze, Joseph (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2009.
Edición:1st ed. 2009.
Colección:Springer Monographs in Mathematics,
Temas:
Algebra.
Commutative algebra.
Commutative rings.
K-theory.
Convex geometry .
Discrete geometry.
Commutative Rings and Algebras.
K-Theory.
Convex and Discrete Geometry.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • I Cones, monoids, and triangulations
  • Polytopes, cones, and complexes
  • Affine monoids and their Hilbert bases
  • Multiples of lattice polytopes
  • II Affine monoid algebras
  • Monoid algebras
  • Isomorphisms and automorphisms
  • Homological properties and Hilbert functions
  • Gr#x00F6;bner bases, triangulations, and Koszul algebras
  • III K-theory
  • Projective modules over monoid rings
  • Bass#x2013;Whitehead groups of monoid rings
  • Varieties.

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