Graded Syzygies is popular PDF and ePub book, written by Irena Peeva in 2010-11-29, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Graded Syzygies can be Read Online from any device for your convenience.
Graded Syzygies Book PDF Summary
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.
Detail Book of Graded Syzygies PDF
- Author : Irena Peeva
- Release : 29 November 2010
- Publisher : Springer Science & Business Media
- ISBN : 9780857291776
- Genre : Mathematics
- Total Page : 310 pages
- Language : English
- PDF File Size : 14,5 Mb
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