Miller, Ezra,

Combinatorial commutative algebra / Ezra Miller, Bernd Sturmfels. - New York : Springer, c2005. - xiv, 417 p. : ill. ; 25 cm. - Graduate texts in mathematics ; 227 .

Includes bibliographical references (p. 379-395) and index.

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.

0387223568


Commutative algebra.

512.44 / MIL/C