Combinatorial Commutative Algebra - 2005 edition

Name: Combinatorial Commutative Algebra - 2005 edition
Author: Ezra Miller

Gebonden Engels 2004 1e druk 9780387223568

Verwachte levertijd ongeveer 9 werkdagen

120,99

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Samenvatting

Combinatorial commutative algebra is an active area of research with thriving connections to other fields of pure and applied mathematics. This book provides a self-contained introduction to the subject, with an emphasis on combinatorial techniques for multigraded polynomial rings, semigroup algebras, and determinantal rings.

The eighteen chapters cover a broad spectrum of 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. Over 100 figures, 250 exercises, and pointers to the literature make this book appealing to both graduate students and researchers.

Specificaties

ISBN13:9780387223568

Taal:Engels

Bindwijze:gebonden

Aantal pagina's:420

Uitgever:Springer

Druk:1

Verschijningsdatum:21-12-2004

Hoofdrubriek:Wetenschap en techniek

Serie:Graduate Texts in Mathematics

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Inhoudsopgave

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.