Syzygies and Hilbert Functions

Herausgeber: Peeva, Irena

• Gebundenes Buch

Produktbeschreibung

Examines the invariant of Castelnuovo-Mumford regularity, blowup algebras, and bigraded rings. This work outlines the status of two conjectures: the lex-plus-power (LPP) conjecture and the multiplicity conjecture. It considers minimal free resolutions of integral subschemes and of equidimensional Cohen-Macaulay subschemes of small degree.

Produktdetails

• Verlag: CRC Press
• Seitenzahl: 304
• Erscheinungstermin: 13. Februar 2018
• Englisch
• Abmessung: 234mm x 156mm x 18mm
• Gewicht: 603g
• ISBN-13: 9781138454316
• ISBN-10: 1138454311
• Artikelnr.: 54802739

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.