Combinatorial Commutative Algebra

 HC runder Rücken kaschiert
Besorgungstitel | Lieferzeit: Besorgungstitel - Lieferbar innerhalb von 10 Werktagen I
ISBN-13:
9780387223568
Einband:
HC runder Rücken kaschiert
Erscheinungsdatum:
21.12.2004
Seiten:
436
Autor:
Ezra Miller
Gewicht:
816 g
Format:
241x160x28 mm
Sprache:
Englisch
Beschreibung:

This book provides an introduction to combinatorial commutative algebra with particular emphasis on combinatorial techniques for multigraded polynomial rings, semigroup algebras, and determined rings. The eighteen chapters cover topics ranging from homological invariants of monomial ideals and their polyhedral resolutions, to hands-on tools for studying algebraic varieties with group actions, such as toric varieties, flag varieties, quiver loci, and Hilbert schemes. Contains over 100 figures and 250 exercises.
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.
Recent developments are covered Contains over 100 figures and 250 exercisesIncludes complete proofs

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