Graded Syzygies

Graded Syzygies
Author :
Publisher : Springer Science & Business Media
Total Pages : 310
Release :
ISBN-10 : 9780857291776
ISBN-13 : 0857291777
Rating : 4/5 (76 Downloads)

Book Synopsis Graded Syzygies by : Irena Peeva

Download or read book Graded Syzygies written by Irena Peeva and published by Springer Science & Business Media. This book was released on 2010-11-29 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of free resolutions is a core and beautiful area in Commutative Algebra. The main goal of this book is to inspire the readers and develop their intuition about syzygies and Hilbert functions. Many examples are given in order to illustrate ideas and key concepts. A valuable feature of the book is the inclusion of open problems and conjectures; these provide a glimpse of exciting, and often challenging, research directions in the field. Three types of problems are presented: Conjectures, Problems, and Open-Ended Problems. The latter do not describe specific problems but point to interesting directions for exploration. The first part of the monograph contains basic background material on graded free resolutions. Further coverage of topics includes syzygies over a polynomial ring, resolutions over quotient rings, lex ideals and Hilbert functions, compression, resolutions of monomial ideals, and syzygies of toric ideals. With a clear and self-contained exposition this text is intended for advanced graduate students and postdoctorates; it will be also of interest to senior mathematicians.


Graded Syzygies Related Books

Graded Syzygies
Language: en
Pages: 310
Authors: Irena Peeva
Categories: Mathematics
Type: BOOK - Published: 2010-11-29 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

The study of free resolutions is a core and beautiful area in Commutative Algebra. The main goal of this book is to inspire the readers and develop their intuit
The Geometry of Syzygies
Language: en
Pages: 254
Authors: David Eisenbud
Categories: Mathematics
Type: BOOK - Published: 2006-10-28 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

First textbook-level account of basic examples and techniques in this area. Suitable for self-study by a reader who knows a little commutative algebra and algeb
Syzygies and Hilbert Functions
Language: en
Pages: 305
Authors: Irena Peeva
Categories: Mathematics
Type: BOOK - Published: 2007-03-20 - Publisher: CRC Press

DOWNLOAD EBOOK

Hilbert functions and resolutions are both central objects in commutative algebra and fruitful tools in the fields of algebraic geometry, combinatorics, commuta
Using Algebraic Geometry
Language: en
Pages: 513
Authors: David A. Cox
Categories: Mathematics
Type: BOOK - Published: 2013-04-17 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

An illustration of the many uses of algebraic geometry, highlighting the more recent applications of Groebner bases and resultants. Along the way, the authors p
Commutative Algebra
Language: en
Pages: 898
Authors: Irena Peeva
Categories: Mathematics
Type: BOOK - Published: 2022-02-18 - Publisher: Springer Nature

DOWNLOAD EBOOK

This contributed volume is a follow-up to the 2013 volume of the same title, published in honor of noted Algebraist David Eisenbud's 65th birthday. It brings to