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Associated Primes of Powers of Ideals Read chapter Read first chapter

2020 | OriginalPaper | Chapter

4. Regularity of Powers of Ideals and the Combinatorial Framework

Authors : Enrico Carlini, Huy Tài Hà, Brian Harbourne, Adam Van Tuyl

Published in: Ideals of Powers and Powers of Ideals

Publisher: Springer International Publishing

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Abstract

Castelnuovo-Mumford regularity (or simply regularity) is an important invariant in commutative algebra and algebraic geometry. Computing or finding bounds for the regularity is a difficult problem. In the next three chapters, we shall address the regularity of ordinary and symbolic powers of squarefree monomial ideals.

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previous chapter Final Comments and Further Reading
next chapter Problems, Questions, and Inductive Techniques
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Metadata
Title
Regularity of Powers of Ideals and the Combinatorial Framework
Authors
Enrico Carlini
Huy Tài Hà
Brian Harbourne
Adam Van Tuyl
Copyright Year
2020
Book
Ideals of Powers and Powers of Ideals

Print ISBN: 978-3-030-45246-9

Electronic ISBN: 978-3-030-45247-6

Copyright Year: 2020

DOI
https://doi.org/10.1007/978-3-030-45247-6_4

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