TY - BOOK AU - Miller, Ezra AU - Sturmfels, Bernd TI - Combinatorial commutative algebra SN - 9780387237077 U1 - 512.25 PY - 2005/// CY - New York PB - Springer KW - Commutative algebra KW - Combinatorial analysis KW - Algebraic Geometry KW - Algebra KW - Mathematics N1 - I Monomial ideals: 1 Squarefree monomial ideals -- 2 Borel-fixed monomial ideals -- 3 Three-dimensional staircases -- 4 Cellular resolutions -- 5 Alexander duality -- 6 Generic monomial ideals -- II Toric algebra: 7 Semigroup rings -- 8 Multigraded polynomial rings -- 9 Syzgies of lattice ideals -- 10 Toric varieties -- 11 Irreducible and injective resolutions -- 12 Ehrhart polynomials -- 13 Local cohomology -- III Determinants: 14 Plucker coordinates -- 15 Matrix Schubert varieties -- 16 Antidiagonal initial ideals -- 17 Minors in matrix products -- 18 Hilbert schemes of points ER -