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