Buch, Englisch, 461 Seiten, Format (B × H): 164 mm x 242 mm, Gewicht: 1850 g
Buch, Englisch, 461 Seiten, Format (B × H): 164 mm x 242 mm, Gewicht: 1850 g
Reihe: Springer Monographs in Mathematics
ISBN: 978-0-387-76355-2
Verlag: Springer
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.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Topologie Algebraische Topologie
- Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
- Mathematik | Informatik Mathematik Algebra Elementare Algebra
- Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie
- Mathematik | Informatik Mathematik Algebra Homologische Algebra
Weitere Infos & Material
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.
