Miller, Ezra

Combinatorial commutative algebra/ Ezra Miller and Bernd Sturmfels - New York: Springer, 2005. - xiv, 417 p. : ill. ; 25 cm. - (Graduate texts in mathematics), 227 .

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.

9780387237077


Commutative algebra
Combinatorial analysis
Algebraic Geometry
Algebra
Mathematics

512.25 / MIL/C