Graded Syzygies [recurso electrónico] / by Irena Peeva.

Por: Peeva, Irena [author.]Colaborador(es): SpringerLink (Online service)Tipo de material: Texto

TextoSeries Algebra and Applications ; 14Editor: London : Springer London, 2011Descripción: XII, 304 p. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9780857291776Tema(s): Mathematics | Algebra | Mathematics | Commutative Rings and AlgebrasFormatos físicos adicionales: Printed edition:: Sin títuloClasificación CDD: 512.44 Clasificación LoC:QA251.3Recursos en línea: Libro electrónico Texto

Contenidos:

Graded Free Resolutions -- Hilbert Functions -- Monomial Resolutions -- Syzygies of Toric Ideals.

En: Springer eBooksResumen: 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.

Existencias ( 1 )
Notas de título ( 3 )

Existencias
Tipo de ítem	Biblioteca actual	Colección	Signatura	Copia número	Estado	Fecha de vencimiento	Código de barras
Libro Electrónico	Biblioteca Electrónica	Colección de Libros Electrónicos	QA251.3 (Browse shelf(Abre debajo))	1	No para préstamo		370507-2001

Graded Free Resolutions -- Hilbert Functions -- Monomial Resolutions -- Syzygies of Toric Ideals.

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.