Combinatorial Commutative Algebra
(Sprache: Englisch)
Recent developments are covered
Contains over 100 figures and 250 exercises
Includes complete proofs
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Klappentext zu „Combinatorial Commutative Algebra “
Recent developments are covered
Contains over 100 figures and 250 exercises
Includes complete proofs
Inhaltsverzeichnis zu „Combinatorial Commutative Algebra “
- Squarefree monomial ideals- Borel-fixed monomial ideals
- Three-dimensional staircases
- Cellular resolutions
- Alexander duality
- Generic monomial ideals
- Semigroup algebras
- Multigraded polynomial rings
- Syzygies of lattice ideals
- Toric varieties
- Irreducible and injective resolutions
- Ehrhart polynomials
- Local cohomology
- Plücker coordinates
- Matrix Schubert varieties
- Antidiagonal initial ideals
- Minors in matrix products
- Hilbert schemes of points
- Bibliography
- Glossary of notation
Bibliographische Angaben
- Autoren: Ezra Miller , Bernd Sturmfels
- 2004, 2005, 420 Seiten, Maße: 16 x 24,1 cm, Gebunden, Englisch
- Verlag: Springer, New York
- ISBN-10: 0387223568
- ISBN-13: 9780387223568
- Erscheinungsdatum: 21.12.2004
Sprache:
Englisch
Rezension zu „Combinatorial Commutative Algebra “
From the reviews:"The book under review constitutes a self-contained introduction to the use of combinatorial methods in commutative algebra. ... Concrete calculations and examples are used to introduce and develop concepts. Numerous exercises provide the opportunity to work through the material and end of chapter notes comment on the history and development of the subject. The authors have provided us with a useful reference and an effective text book." (R. J. Shank, Zentralblatt MATH, Vol. 1090 (16), 2006)
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