Syzygies and Hilbert Functions (eBook, PDF)

Redaktion: Peeva, Irena

• Format: PDF

Produktbeschreibung

Hilbert functions and resolutions are both central objects in commutative algebra and fruitful tools in the fields of algebraic geometry, combinatorics, commutative algebra, and computational algebra. Spurred by recent research in this area, Syzygies and Hilbert Functions explores fresh developments in the field as well as fundamental concepts.

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Produktdetails

• Verlag: Taylor & Francis eBooks
• 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.