000 01265nam a2200229Ia 4500
999 _c170326
_d170326
020 _a9780387237077
040 _cCUS
082 _a512.25
_bMIL/C
100 _aMiller, Ezra
_98514
245 0 _aCombinatorial commutative algebra/
_cEzra Miller and Bernd Sturmfels
260 _aNew York:
_bSpringer,
_c2005.
300 _axiv, 417 p. :
_bill. ;
_c25 cm.
440 _a(Graduate texts in mathematics),
_v227
_98515
505 _aI 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.
650 _aCommutative algebra
_98516
650 _aCombinatorial analysis
_98517
650 _aAlgebraic Geometry
_98518
650 _aAlgebra
_94201
650 _aMathematics
_95075
700 _aSturmfels, Bernd
_98519
942 _cWB16
_01