Title: Syzygies and Hilbert Functions (Lecture Notes in Pure and Applied Mathematics)
Publisher: Chapman and Hall/CRC 2018-02-13
Publication Date: 2018
Language: English
ISBN 10: 1138454311
ISBN 13: 9781138454316
Binding: Hardcover
Condition: New

About this title

Synopsis

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. Written by international mathematics authorities, the book first examines the invariant of Castelnuovo-Mumford regularity, blowup algebras, and bigraded rings. It then outlines the current status of two challenging conjectures: the lex-plus-power (LPP) conjecture and the multiplicity conjecture. After reviewing results of the geometry of Hilbert functions, the book considers minimal free resolutions of integral subschemes and of equidimensional Cohen-Macaulay subschemes of small degree. It also discusses relations to subspace arrangements and the properties of the infinite graded minimal free resolution of the ground field over a projective toric ring. The volume closes with an introduction to multigraded Hilbert functions, mixed multiplicities, and joint reductions. By surveying exciting topics of vibrant current research, Syzygies and Hilbert Functions stimulates further study in this hot area of mathematical activity.

About the Author

Irena Peeva is a professor of mathematics at Cornell University.

"About this title" may belong to another edition of this title.

Store Description

Visit Seller's Storefront

Seller's business information

WRAP Ltd
Unit 4, 119 Loverock Rd, Reading, RG30 1DZ, United Kingdom

Sale & Shipping Terms

Terms of Sale

TBA

Shipping Terms

Shipping costs are based on books weighing 2.2 LB, or 1 KG. If your book order is heavy or oversized, we may contact you to let you know extra shipping is required.

Shipping rates from United Kingdom to U.S.A.

Shipping rates from United Kingdom to U.S.A.
Order quantity	14 to 21 business days	14 to 21 business days
First item	US$ 20.70	US$ 20.70

Delivery times are set by sellers and vary by carrier and location. Orders passing through Customs may face delays and buyers are responsible for any associated duties or fees. Sellers may contact you regarding additional charges to cover any increased costs to ship your items.