Overview
- There are not similar books on the topic
- Hilbert functions are becoming of increasing interest
- Numerous examples help the reader
- It includes new developments and easier proofs of classical results
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes of the Unione Matematica Italiana (UMILN, volume 9)
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Table of contents (6 chapters)
Keywords
About this book
Reviews
From the reviews:
“This book’s first aim is to gather together in one place many new developments of the theory of Hilbert functions by using a unifying approach of filtrations of submodules. In this way, the book not only extends many well-known results … but it also gives self-contained and easier proofs of even classical results. … This is a short but very nice book. It is useful for graduate students and researchers who are interested in the theory of Hilbert functions.” (Lê Tuấn Hoa, Mathematical Reviews, Issue 2012 b)
“The authors introduce and discuss the notion of a good q-filtration of a module over a local ring. … The authors give several upper bounds for the first two Hilbert coefficients of the Hilbert polynomial of a filtration … . This is an interesting and well written lecture note.” (Siamak Yassemi, Zentralblatt MATH, Vol. 1201, 2011)
Authors and Affiliations
Bibliographic Information
Book Title: Hilbert Functions of Filtered Modules
Authors: Giuseppe Valla, Maria Evelina Rossi
Series Title: Lecture Notes of the Unione Matematica Italiana
DOI: https://doi.org/10.1007/978-3-642-14240-6
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2010
Softcover ISBN: 978-3-642-14239-0Published: 18 September 2010
eBook ISBN: 978-3-642-14240-6Published: 25 August 2010
Series ISSN: 1862-9113
Series E-ISSN: 1862-9121
Edition Number: 1
Number of Pages: XVIII, 100
Topics: Algebra, Commutative Rings and Algebras, Algebraic Geometry