Combinatorial commutative algebra / Ezra Miller, Bernd Sturmfels.

By: Miller, EzraMaterial type: TextTextSeries: Graduate texts in mathematics ; 227Publication details: New York : Springer, c2005Description: xiv, 417 p. : ill. ; 25 cmISBN: 0387223568 Subject(s): Commutative algebraDDC classification: 512.44
Contents:
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.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
General Books General Books Central Library, Sikkim University
512.44 MIL/C (Browse shelf(Opens below)) Available 45963
Total holds: 0

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.

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