Polytopes, Rings, and K-Theory

• Main Authors: Gubeladze, Joseph (Author), Bruns, Winfried (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2009.
• Edition: 1.
• Series: Springer Monographs in Mathematics,
• Subjects: Mathematics.; Algebra.; Commutative algebra.; Commutative rings.; K-theory.; Convex geometry.; Discrete geometry.; Commutative Rings and Algebras.; K-Theory.; Convex and Discrete Geometry.

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...