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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| Principais autores: | , |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado em: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Edição: | 1st ed. 2009. |
| coleção: | Springer Monographs in Mathematics
|
| Assuntos: | |
| Acesso em linha: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Description d'après consultation du 20 septembre 2011 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Polytopes, rings, and K-theory, Winfried Bruns, Joseph Gubeladze, 2009, Dordrecht, Springer, 1 vol. (xiii- 461 p.), Springer monographs in mathematics, 978-0-387-76355-2 • Polytopes, Rings, and K-Theory, Texte imprimé, 9780387567624 • Polytopes, Rings, and K-Theory, Texte imprimé, 9781441926173 • Polytopes, rings, and K-theory, Winfried Bruns, Joseph Gubeladze, 2009, Dordrecht, Springer, 1 vol. (xiii- 461 p.), Springer monographs in mathematics, 978-0-387-76355-2 |
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| 100 | 1 | |a Gubeladze, Joseph. | |
| 245 | 1 | 0 | |a Polytopes, rings, and K-theory |c by Joseph Gubeladze, Winfried Bruns. |
| 250 | |a 1st ed. 2009. | ||
| 260 | |a New York, NY : |b Springer New York. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Springer Monographs in Mathematics |x 2196-9922 | |
| 500 | |a Description d'après consultation du 20 septembre 2011 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a 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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 several properties and invariants of these objects, such as efficient generation, unimodular triangulations and covers, basic theory of monoid rings, isomorphism problems and automorphism groups, homological properties and enumerative combinatorics. The last part is an extensive treatment of the K-theory of monoid rings, with extensions to toric varieties and their intersection theory. This monograph has been written with a view towards graduate students and researchers who want to study the cross-connections of algebra and discrete convex geometry. While the text has been written from an algebraist's view point, also specialists in lattice polytopes and related objects will find an up-to-date discussion of affine monoids and their combinatorial structure. Though the authors do not explicitly formulate algorithms, the book takes a constructive approach wherever possible. Winfried Bruns is Professor of Mathematics at Universität Osnabrück. Joseph Gubeladze is Professor of Mathematics at San Francisco State University | ||
| 650 | |a K-théorie | ||
| 650 | |a Anneaux (algèbre) | ||
| 650 | |a Polytopes | ||
| 650 | |a Problèmes et exercices | ||
| 700 | 1 | |a Bruns, Winfried, |d 1946- |4 aut | |
| 776 | 0 | |0 136328733 |t Polytopes, rings, and K-theory |f Winfried Bruns, Joseph Gubeladze |d 2009 |c Dordrecht |n Springer |p 1 vol. (xiii- 461 p.) |s Springer monographs in mathematics |z 978-0-387-76355-2 | |
| 776 | 0 | |t Polytopes, Rings, and K-Theory |b Texte imprimé |z 9780387567624 | |
| 776 | 0 | |t Polytopes, Rings, and K-Theory |b Texte imprimé |z 9781441926173 | |
| 776 | 0 | |0 136328733 |t Polytopes, rings, and K-theory |f Winfried Bruns, Joseph Gubeladze |d 2009 |c Dordrecht |n Springer |p 1 vol. (xiii- 461 p.) |s Springer monographs in mathematics |z 978-0-387-76355-2 | |
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