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.
ISBN: 9780387237077
Subjects--Topical Terms: Commutative algebra Combinatorial analysis Algebraic Geometry Algebra Mathematics
Dewey Class. No.: 512.25 / MIL/C