Polytopes, Rings, and K-Theory
Seiten
2009
|
2009 ed.
Springer-Verlag New York Inc.
978-0-387-76355-2 (ISBN)
Springer-Verlag New York Inc.
978-0-387-76355-2 (ISBN)
This book examines interactions of polyhedral discrete geometry and algebra. What makes this book unique is the presentation of several central results in all three areas of the exposition - from discrete geometry, to commutative algebra, and K-theory.
This book examines interactions of polyhedral discrete geometry and algebra. What makes this book different from others is the presentation of several central results in all three areas of the exposition - discrete geometry, commutative algebra, and K-theory. The only prerequisite for the reader is a background in algebra, and the basics of polyhedral geometry have been included in Chapter 1.
The text will be of interest to graduate students and mathematicians. Included are numerous exercises, historical background, and notes throughout the chapters.
This book examines interactions of polyhedral discrete geometry and algebra. What makes this book different from others is the presentation of several central results in all three areas of the exposition - discrete geometry, commutative algebra, and K-theory. The only prerequisite for the reader is a background in algebra, and the basics of polyhedral geometry have been included in Chapter 1.
The text will be of interest to graduate students and mathematicians. Included are numerous exercises, historical background, and notes throughout the chapters.
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.
| Erscheint lt. Verlag | 27.5.2009 |
|---|---|
| Reihe/Serie | Springer Monographs in Mathematics |
| Zusatzinfo | 52 Illustrations, black and white |
| Verlagsort | New York, NY |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| ISBN-10 | 0-387-76355-4 / 0387763554 |
| ISBN-13 | 978-0-387-76355-2 / 9780387763552 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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