Syzygies and Hilbert Functions (eBook, PDF)

Redaktion: Peeva, Irena

• Format: PDF

Produktbeschreibung

Exploring fresh developments as well as fundamental concepts, Syzygies and Hilbert Functions presents highlights, conjectures, unsolved problems, and examples of Hilbert functions and resolutions. The book studies the role of these functions in the areas of algebraic geometry and combinatorics. It also outlines the current status of both the LPP and multiplicity conjectures. In addition, the book discusses bigraded rings, multigraded rings, and toric rings, which have received a lot of attention in recent research.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 304
• Erscheinungstermin: 20. März 2007
• Englisch
• ISBN-13: 9781420050912
• Artikelnr.: 53331834

Autorenporträt

Irena Peeva is a professor of mathematics at Cornell University.

Inhaltsangabe

Introduction. Some Results and Questions on Castelnuovo-Mumford Regularity.
Hilbert Coefficients of Ideals With a View Toward Blowup Algebra. A Case
Study in Bigraded Commutative Algebra. Lex-plus-powers Ideals. Multiplicity
Conjectures. The Geometry of Hilbert Functions. Resolutions of Subschemes
of Small Degree. Koszul Toric Rings. Resolutions and Subspace Arrangements.
Multi-graded Hilbert Functions, Mixed Multiplicities.