Combinatorial Commutative Algebra

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...

Ausführliche Beschreibung

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Bibliographische Detailangaben
Hauptverfasser: Miller, Ezra, 1974-, Sturmfels, Bernd, 1962-...., mathématicien (VerfasserIn)
Format: Livre numérique
Sprache:Anglais
Veröffentlicht: New York, NY : Springer New York [20..].
Cham : Springer Nature
Ausgabe:1st ed. 2005.
Schriftenreihe:Graduate Texts in Mathematics 227
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Edition sous un autre format:• Combinatorial commutative algebra, Ezra Miller, Bernd Sturmfels, 2005, New York, Springer, 1 vol. (XIV-417 p.), Graduate texts in mathematics, 978-0387-23707-7
Inhaltsangabe:
  • 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.