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...
Κύριοι συγγραφείς: | , |
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Συγγραφή απο Οργανισμό/Αρχή: | |
Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
New York, NY :
Springer New York,
2009.
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Έκδοση: | 1. |
Σειρά: | Springer Monographs in Mathematics,
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Θέματα: | |
Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- 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.