Combinatorial Commutative Algebra

• Κύριοι συγγραφείς: Miller, Ezra (Συγγραφέας), Sturmfels, Bernd (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York, 2005.
• Σειρά: Graduate Texts in Mathematics, 227
• Θέματα: Mathematics.; Algebraic geometry.; Commutative algebra.; Commutative rings.; Combinatorics.; Commutative Rings and Algebras.; Algebraic Geometry.

Combinatorial commutative algebra is an active area of research with thriving connections to other fields of pure and applied mathematics. This book provides a self-contained introduction to the subject, with an emphasis on combinatorial techniques for multigraded polynomial rings, semigroup algebra...

Πίνακας περιεχομένων:

• Monomial Ideals
• Squarefree monomial ideals
• Borel-fixed monomial ideals
• Three-dimensional staircases
• Cellular resolutions
• Alexander duality
• Generic monomial ideals
• Toric Algebra
• Semigroup rings
• Multigraded polynomial rings
• Syzygies of lattice ideals
• Toric varieties
• Irreducible and injective resolutions
• Ehrhart polynomials
• Local cohomology
• Determinants
• Plücker coordinates
• Matrix Schubert varieties
• Antidiagonal initial ideals
• Minors in matrix products
• Hilbert schemes of points.