Syzygies and Hilbert Functions

Syzygies and Hilbert Functions
Author: Irena Peeva
Publisher: CRC Press
Total Pages: 305
Release: 2007-03-20
Genre: Mathematics
ISBN: 1420050915

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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.


Syzygies and Hilbert Functions
Language: en
Pages: 305
Authors: Irena Peeva
Categories: Mathematics
Type: BOOK - Published: 2007-03-20 - Publisher: CRC Press

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Hilbert functions and resolutions are both central objects in commutative algebra and fruitful tools in the fields of algebraic geometry, combinatorics, commuta
Graded Syzygies
Language: en
Pages: 310
Authors: Irena Peeva
Categories: Mathematics
Type: BOOK - Published: 2010-11-29 - Publisher: Springer Science & Business Media

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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
Computing Hilbert Functions Using the Syzygy and LCM-lattice Methods
Language: en
Pages: 88
Authors: Maria Barouti
Categories: Algebra, Homological
Type: BOOK - Published: 2011 - Publisher:

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"The Hilbert function for any graded module over a field k is defined by the dimension of all of the summands M_b, where b indicates the graded component being
Hilbert Functions of Filtered Modules
Language: en
Pages: 115
Authors: Maria Evelina Rossi
Categories: Mathematics
Type: BOOK - Published: 2010-08-25 - Publisher: Springer Science & Business Media

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Hilbert Functions play major roles in Algebraic Geometry and Commutative Algebra, and are becoming increasingly important also in Computational Algebra. They ca
Syzygies and Homotopy Theory
Language: en
Pages: 307
Authors: F.E.A. Johnson
Categories: Mathematics
Type: BOOK - Published: 2011-11-17 - Publisher: Springer Science & Business Media

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The most important invariant of a topological space is its fundamental group. When this is trivial, the resulting homotopy theory is well researched and familia